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Finding the Fourth Proportional to 3,438.53, 5,156.08 and 1,463.85

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Solution

The fourth proportional to 3,438.53, 5,156.08 and 1,463.85 is: 2,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.53 : 5,156.08 = 1,463.85 : x
  2. Step 2: Convert to fraction form
    3,438.53/5,156.08 = 1,463.85/x
  3. Step 3: Cross multiply
    3,438.53x = 5,156.08 × 1,463.85
  4. Step 4: Simplify right side
    3,438.53x = 7,547,727.71
  5. Step 5: Solve for x
    x = 7,547,727.71/3,438.53
  6. Step 6: Final answer
    x = 2,195.04

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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.