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Finding the Fourth Proportional to 5,760.24, 8,641.08 and 2,641.20

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Solution

The fourth proportional to 5,760.24, 8,641.08 and 2,641.20 is: 3,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.24 : 8,641.08 = 2,641.20 : x
  2. Step 2: Convert to fraction form
    5,760.24/8,641.08 = 2,641.20/x
  3. Step 3: Cross multiply
    5,760.24x = 8,641.08 × 2,641.20
  4. Step 4: Simplify right side
    5,760.24x = 22,822,820.50
  5. Step 5: Solve for x
    x = 22,822,820.50/5,760.24
  6. Step 6: Final answer
    x = 3,962.13

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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.