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Finding the Fourth Proportional to 5,967.52, 8,951.25 and 1,464.59

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Solution

The fourth proportional to 5,967.52, 8,951.25 and 1,464.59 is: 2,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.52 : 8,951.25 = 1,464.59 : x
  2. Step 2: Convert to fraction form
    5,967.52/8,951.25 = 1,464.59/x
  3. Step 3: Cross multiply
    5,967.52x = 8,951.25 × 1,464.59
  4. Step 4: Simplify right side
    5,967.52x = 13,109,911.24
  5. Step 5: Solve for x
    x = 13,109,911.24/5,967.52
  6. Step 6: Final answer
    x = 2,196.88

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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.