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Finding the Fourth Proportional to 5,328.24, 7,991.24 and 1,432.68

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Solution

The fourth proportional to 5,328.24, 7,991.24 and 1,432.68 is: 2,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.24 : 7,991.24 = 1,432.68 : x
  2. Step 2: Convert to fraction form
    5,328.24/7,991.24 = 1,432.68/x
  3. Step 3: Cross multiply
    5,328.24x = 7,991.24 × 1,432.68
  4. Step 4: Simplify right side
    5,328.24x = 11,448,889.72
  5. Step 5: Solve for x
    x = 11,448,889.72/5,328.24
  6. Step 6: Final answer
    x = 2,148.72

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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.