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Finding the Fourth Proportional to 5,325.24, 7,987.84 and 1,429.52

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Solution

The fourth proportional to 5,325.24, 7,987.84 and 1,429.52 is: 2,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.24 : 7,987.84 = 1,429.52 : x
  2. Step 2: Convert to fraction form
    5,325.24/7,987.84 = 1,429.52/x
  3. Step 3: Cross multiply
    5,325.24x = 7,987.84 × 1,429.52
  4. Step 4: Simplify right side
    5,325.24x = 11,418,777.04
  5. Step 5: Solve for x
    x = 11,418,777.04/5,325.24
  6. Step 6: Final answer
    x = 2,144.27

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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.