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Finding the Fourth Proportional to 5,702,965.38, 7,867,454.22 and 5,050,256.76

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Solution

The fourth proportional to 5,702,965.38, 7,867,454.22 and 5,050,256.76 is: 6,967,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,965.38 : 7,867,454.22 = 5,050,256.76 : x
  2. Step 2: Convert to fraction form
    5,702,965.38/7,867,454.22 = 5,050,256.76/x
  3. Step 3: Cross multiply
    5,702,965.38x = 7,867,454.22 × 5,050,256.76
  4. Step 4: Simplify right side
    5,702,965.38x = 39,732,663,858,545.52
  5. Step 5: Solve for x
    x = 39,732,663,858,545.52/5,702,965.38
  6. Step 6: Final answer
    x = 6,967,018.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.