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Finding the Fourth Proportional to 3,434.52, 5,153.90 and 1,354.16

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Solution

The fourth proportional to 3,434.52, 5,153.90 and 1,354.16 is: 2,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.52 : 5,153.90 = 1,354.16 : x
  2. Step 2: Convert to fraction form
    3,434.52/5,153.90 = 1,354.16/x
  3. Step 3: Cross multiply
    3,434.52x = 5,153.90 × 1,354.16
  4. Step 4: Simplify right side
    3,434.52x = 6,979,205.22
  5. Step 5: Solve for x
    x = 6,979,205.22/3,434.52
  6. Step 6: Final answer
    x = 2,032.08

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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.