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Finding the Fourth Proportional to 4,114.73, 5,678.02 and 2,542.25

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Solution

The fourth proportional to 4,114.73, 5,678.02 and 2,542.25 is: 3,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.73 : 5,678.02 = 2,542.25 : x
  2. Step 2: Convert to fraction form
    4,114.73/5,678.02 = 2,542.25/x
  3. Step 3: Cross multiply
    4,114.73x = 5,678.02 × 2,542.25
  4. Step 4: Simplify right side
    4,114.73x = 14,434,946.35
  5. Step 5: Solve for x
    x = 14,434,946.35/4,114.73
  6. Step 6: Final answer
    x = 3,508.12

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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.