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Finding the Fourth Proportional to 3,442.74, 5,187.08 and 3,114.06

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Solution

The fourth proportional to 3,442.74, 5,187.08 and 3,114.06 is: 4,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.74 : 5,187.08 = 3,114.06 : x
  2. Step 2: Convert to fraction form
    3,442.74/5,187.08 = 3,114.06/x
  3. Step 3: Cross multiply
    3,442.74x = 5,187.08 × 3,114.06
  4. Step 4: Simplify right side
    3,442.74x = 16,152,836.84
  5. Step 5: Solve for x
    x = 16,152,836.84/3,442.74
  6. Step 6: Final answer
    x = 4,691.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.