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Finding the Fourth Proportional to 3,766.59, 5,202.25 and 2,505.46

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Solution

The fourth proportional to 3,766.59, 5,202.25 and 2,505.46 is: 3,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.59 : 5,202.25 = 2,505.46 : x
  2. Step 2: Convert to fraction form
    3,766.59/5,202.25 = 2,505.46/x
  3. Step 3: Cross multiply
    3,766.59x = 5,202.25 × 2,505.46
  4. Step 4: Simplify right side
    3,766.59x = 13,034,029.29
  5. Step 5: Solve for x
    x = 13,034,029.29/3,766.59
  6. Step 6: Final answer
    x = 3,460.44

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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.