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Finding the Fourth Proportional to 5,525.76, 8,293.76 and 2,565.79

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Solution

The fourth proportional to 5,525.76, 8,293.76 and 2,565.79 is: 3,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,525.76 : 8,293.76 = 2,565.79 : x
  2. Step 2: Convert to fraction form
    5,525.76/8,293.76 = 2,565.79/x
  3. Step 3: Cross multiply
    5,525.76x = 8,293.76 × 2,565.79
  4. Step 4: Simplify right side
    5,525.76x = 21,280,046.47
  5. Step 5: Solve for x
    x = 21,280,046.47/5,525.76
  6. Step 6: Final answer
    x = 3,851.06

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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.