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Finding the Fourth Proportional to 3,478.32, 5,219.28 and 1,532.16

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Solution

The fourth proportional to 3,478.32, 5,219.28 and 1,532.16 is: 2,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.32 : 5,219.28 = 1,532.16 : x
  2. Step 2: Convert to fraction form
    3,478.32/5,219.28 = 1,532.16/x
  3. Step 3: Cross multiply
    3,478.32x = 5,219.28 × 1,532.16
  4. Step 4: Simplify right side
    3,478.32x = 7,996,772.04
  5. Step 5: Solve for x
    x = 7,996,772.04/3,478.32
  6. Step 6: Final answer
    x = 2,299.03

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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.