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Finding the Fourth Proportional to 5,740.52, 8,612.96 and 2,965.46

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Solution

The fourth proportional to 5,740.52, 8,612.96 and 2,965.46 is: 4,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.52 : 8,612.96 = 2,965.46 : x
  2. Step 2: Convert to fraction form
    5,740.52/8,612.96 = 2,965.46/x
  3. Step 3: Cross multiply
    5,740.52x = 8,612.96 × 2,965.46
  4. Step 4: Simplify right side
    5,740.52x = 25,541,330.47
  5. Step 5: Solve for x
    x = 25,541,330.47/5,740.52
  6. Step 6: Final answer
    x = 4,449.31

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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.