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Finding the Fourth Proportional to 5,215,005.90, 7,822,508.85 and 4,551,453.90

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Solution

The fourth proportional to 5,215,005.90, 7,822,508.85 and 4,551,453.90 is: 6,827,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215,005.90 : 7,822,508.85 = 4,551,453.90 : x
  2. Step 2: Convert to fraction form
    5,215,005.90/7,822,508.85 = 4,551,453.90/x
  3. Step 3: Cross multiply
    5,215,005.90x = 7,822,508.85 × 4,551,453.90
  4. Step 4: Simplify right side
    5,215,005.90x = 35,603,788,413,117.02
  5. Step 5: Solve for x
    x = 35,603,788,413,117.02/5,215,005.90
  6. Step 6: Final answer
    x = 6,827,180.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.