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Finding the Fourth Proportional to 5,646.96, 8,472.29 and 2,360.99

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Solution

The fourth proportional to 5,646.96, 8,472.29 and 2,360.99 is: 3,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.96 : 8,472.29 = 2,360.99 : x
  2. Step 2: Convert to fraction form
    5,646.96/8,472.29 = 2,360.99/x
  3. Step 3: Cross multiply
    5,646.96x = 8,472.29 × 2,360.99
  4. Step 4: Simplify right side
    5,646.96x = 20,002,991.97
  5. Step 5: Solve for x
    x = 20,002,991.97/5,646.96
  6. Step 6: Final answer
    x = 3,542.26

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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.