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Finding the Fourth Proportional to 5,700.72, 8,542.88 and 2,409.29

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Solution

The fourth proportional to 5,700.72, 8,542.88 and 2,409.29 is: 3,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.72 : 8,542.88 = 2,409.29 : x
  2. Step 2: Convert to fraction form
    5,700.72/8,542.88 = 2,409.29/x
  3. Step 3: Cross multiply
    5,700.72x = 8,542.88 × 2,409.29
  4. Step 4: Simplify right side
    5,700.72x = 20,582,275.36
  5. Step 5: Solve for x
    x = 20,582,275.36/5,700.72
  6. Step 6: Final answer
    x = 3,610.47

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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.