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Finding the Fourth Proportional to 5,038.32, 6,954.01 and 2,800.98

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Solution

The fourth proportional to 5,038.32, 6,954.01 and 2,800.98 is: 3,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.32 : 6,954.01 = 2,800.98 : x
  2. Step 2: Convert to fraction form
    5,038.32/6,954.01 = 2,800.98/x
  3. Step 3: Cross multiply
    5,038.32x = 6,954.01 × 2,800.98
  4. Step 4: Simplify right side
    5,038.32x = 19,478,042.93
  5. Step 5: Solve for x
    x = 19,478,042.93/5,038.32
  6. Step 6: Final answer
    x = 3,865.98

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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.