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Finding the Fourth Proportional to 3,482, 5,219.36 and 1,631.62

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Solution

The fourth proportional to 3,482, 5,219.36 and 1,631.62 is: 2,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482 : 5,219.36 = 1,631.62 : x
  2. Step 2: Convert to fraction form
    3,482/5,219.36 = 1,631.62/x
  3. Step 3: Cross multiply
    3,482x = 5,219.36 × 1,631.62
  4. Step 4: Simplify right side
    3,482x = 8,516,012.16
  5. Step 5: Solve for x
    x = 8,516,012.16/3,482
  6. Step 6: Final answer
    x = 2,445.72

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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.