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Finding the Fourth Proportional to 5,324.64, 7,987.04 and 1,429.60

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Solution

The fourth proportional to 5,324.64, 7,987.04 and 1,429.60 is: 2,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.64 : 7,987.04 = 1,429.60 : x
  2. Step 2: Convert to fraction form
    5,324.64/7,987.04 = 1,429.60/x
  3. Step 3: Cross multiply
    5,324.64x = 7,987.04 × 1,429.60
  4. Step 4: Simplify right side
    5,324.64x = 11,418,272.38
  5. Step 5: Solve for x
    x = 11,418,272.38/5,324.64
  6. Step 6: Final answer
    x = 2,144.42

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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.