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Finding the Fourth Proportional to 3,434.53, 5,148.32 and 1,356.00

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Solution

The fourth proportional to 3,434.53, 5,148.32 and 1,356.00 is: 2,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.53 : 5,148.32 = 1,356.00 : x
  2. Step 2: Convert to fraction form
    3,434.53/5,148.32 = 1,356.00/x
  3. Step 3: Cross multiply
    3,434.53x = 5,148.32 × 1,356.00
  4. Step 4: Simplify right side
    3,434.53x = 6,981,114.13
  5. Step 5: Solve for x
    x = 6,981,114.13/3,434.53
  6. Step 6: Final answer
    x = 2,032.63

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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.