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Finding the Fourth Proportional to 5,742.48, 8,616.96 and 3,275.76

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Solution

The fourth proportional to 5,742.48, 8,616.96 and 3,275.76 is: 4,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.48 : 8,616.96 = 3,275.76 : x
  2. Step 2: Convert to fraction form
    5,742.48/8,616.96 = 3,275.76/x
  3. Step 3: Cross multiply
    5,742.48x = 8,616.96 × 3,275.76
  4. Step 4: Simplify right side
    5,742.48x = 28,227,092.89
  5. Step 5: Solve for x
    x = 28,227,092.89/5,742.48
  6. Step 6: Final answer
    x = 4,915.49

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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.