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Finding the Fourth Proportional to 5,772.52, 7,966.04 and 3,288.52

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Solution

The fourth proportional to 5,772.52, 7,966.04 and 3,288.52 is: 4,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.52 : 7,966.04 = 3,288.52 : x
  2. Step 2: Convert to fraction form
    5,772.52/7,966.04 = 3,288.52/x
  3. Step 3: Cross multiply
    5,772.52x = 7,966.04 × 3,288.52
  4. Step 4: Simplify right side
    5,772.52x = 26,196,481.86
  5. Step 5: Solve for x
    x = 26,196,481.86/5,772.52
  6. Step 6: Final answer
    x = 4,538.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.