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Finding the Fourth Proportional to 5,123.50, 7,685.43 and 2,931.22

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Solution

The fourth proportional to 5,123.50, 7,685.43 and 2,931.22 is: 4,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.50 : 7,685.43 = 2,931.22 : x
  2. Step 2: Convert to fraction form
    5,123.50/7,685.43 = 2,931.22/x
  3. Step 3: Cross multiply
    5,123.50x = 7,685.43 × 2,931.22
  4. Step 4: Simplify right side
    5,123.50x = 22,527,686.12
  5. Step 5: Solve for x
    x = 22,527,686.12/5,123.50
  6. Step 6: Final answer
    x = 4,396.93

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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.