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Finding the Fourth Proportional to 4,160.99, 5,737.50 and 3,402.41

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Solution

The fourth proportional to 4,160.99, 5,737.50 and 3,402.41 is: 4,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.99 : 5,737.50 = 3,402.41 : x
  2. Step 2: Convert to fraction form
    4,160.99/5,737.50 = 3,402.41/x
  3. Step 3: Cross multiply
    4,160.99x = 5,737.50 × 3,402.41
  4. Step 4: Simplify right side
    4,160.99x = 19,521,327.38
  5. Step 5: Solve for x
    x = 19,521,327.38/4,160.99
  6. Step 6: Final answer
    x = 4,691.51

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1.5x scale

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.