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Finding the Fourth Proportional to 5,491.52, 7,578.30 and 3,254.50

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Solution

The fourth proportional to 5,491.52, 7,578.30 and 3,254.50 is: 4,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.52 : 7,578.30 = 3,254.50 : x
  2. Step 2: Convert to fraction form
    5,491.52/7,578.30 = 3,254.50/x
  3. Step 3: Cross multiply
    5,491.52x = 7,578.30 × 3,254.50
  4. Step 4: Simplify right side
    5,491.52x = 24,663,577.35
  5. Step 5: Solve for x
    x = 24,663,577.35/5,491.52
  6. Step 6: Final answer
    x = 4,491.21

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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.