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Finding the Fourth Proportional to 5,420.16, 8,129.52 and 1,524.84

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Solution

The fourth proportional to 5,420.16, 8,129.52 and 1,524.84 is: 2,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.16 : 8,129.52 = 1,524.84 : x
  2. Step 2: Convert to fraction form
    5,420.16/8,129.52 = 1,524.84/x
  3. Step 3: Cross multiply
    5,420.16x = 8,129.52 × 1,524.84
  4. Step 4: Simplify right side
    5,420.16x = 12,396,217.28
  5. Step 5: Solve for x
    x = 12,396,217.28/5,420.16
  6. Step 6: Final answer
    x = 2,287.06

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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.