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Finding the Fourth Proportional to 5,162.52, 7,746.21 and 2,565.12

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Solution

The fourth proportional to 5,162.52, 7,746.21 and 2,565.12 is: 3,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.52 : 7,746.21 = 2,565.12 : x
  2. Step 2: Convert to fraction form
    5,162.52/7,746.21 = 2,565.12/x
  3. Step 3: Cross multiply
    5,162.52x = 7,746.21 × 2,565.12
  4. Step 4: Simplify right side
    5,162.52x = 19,869,958.20
  5. Step 5: Solve for x
    x = 19,869,958.20/5,162.52
  6. Step 6: Final answer
    x = 3,848.89

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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.