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Finding the Fourth Proportional to 5,700.16, 7,869.78 and 4,371.31

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Solution

The fourth proportional to 5,700.16, 7,869.78 and 4,371.31 is: 6,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.16 : 7,869.78 = 4,371.31 : x
  2. Step 2: Convert to fraction form
    5,700.16/7,869.78 = 4,371.31/x
  3. Step 3: Cross multiply
    5,700.16x = 7,869.78 × 4,371.31
  4. Step 4: Simplify right side
    5,700.16x = 34,401,248.01
  5. Step 5: Solve for x
    x = 34,401,248.01/5,700.16
  6. Step 6: Final answer
    x = 6,035.14

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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.