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Finding the Fourth Proportional to 6,111.53, 8,434.06 and 3,458.42

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Solution

The fourth proportional to 6,111.53, 8,434.06 and 3,458.42 is: 4,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.53 : 8,434.06 = 3,458.42 : x
  2. Step 2: Convert to fraction form
    6,111.53/8,434.06 = 3,458.42/x
  3. Step 3: Cross multiply
    6,111.53x = 8,434.06 × 3,458.42
  4. Step 4: Simplify right side
    6,111.53x = 29,168,470.97
  5. Step 5: Solve for x
    x = 29,168,470.97/6,111.53
  6. Step 6: Final answer
    x = 4,772.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.