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Finding the Fourth Proportional to 5,381.59, 7,424.31 and 3,284.50

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Solution

The fourth proportional to 5,381.59, 7,424.31 and 3,284.50 is: 4,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.59 : 7,424.31 = 3,284.50 : x
  2. Step 2: Convert to fraction form
    5,381.59/7,424.31 = 3,284.50/x
  3. Step 3: Cross multiply
    5,381.59x = 7,424.31 × 3,284.50
  4. Step 4: Simplify right side
    5,381.59x = 24,385,146.20
  5. Step 5: Solve for x
    x = 24,385,146.20/5,381.59
  6. Step 6: Final answer
    x = 4,531.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.