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Finding the Fourth Proportional to 5,328.01, 7,992 and 1,432.41

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Solution

The fourth proportional to 5,328.01, 7,992 and 1,432.41 is: 2,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.01 : 7,992 = 1,432.41 : x
  2. Step 2: Convert to fraction form
    5,328.01/7,992 = 1,432.41/x
  3. Step 3: Cross multiply
    5,328.01x = 7,992 × 1,432.41
  4. Step 4: Simplify right side
    5,328.01x = 11,447,820.72
  5. Step 5: Solve for x
    x = 11,447,820.72/5,328.01
  6. Step 6: Final answer
    x = 2,148.61

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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.