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Finding the Fourth Proportional to 5,851.52, 8,780.24 and 2,564.64

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Solution

The fourth proportional to 5,851.52, 8,780.24 and 2,564.64 is: 3,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.52 : 8,780.24 = 2,564.64 : x
  2. Step 2: Convert to fraction form
    5,851.52/8,780.24 = 2,564.64/x
  3. Step 3: Cross multiply
    5,851.52x = 8,780.24 × 2,564.64
  4. Step 4: Simplify right side
    5,851.52x = 22,518,154.71
  5. Step 5: Solve for x
    x = 22,518,154.71/5,851.52
  6. Step 6: Final answer
    x = 3,848.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.