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Finding the Fourth Proportional to 3,670.18, 5,062.71 and 2,341.78

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Solution

The fourth proportional to 3,670.18, 5,062.71 and 2,341.78 is: 3,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.18 : 5,062.71 = 2,341.78 : x
  2. Step 2: Convert to fraction form
    3,670.18/5,062.71 = 2,341.78/x
  3. Step 3: Cross multiply
    3,670.18x = 5,062.71 × 2,341.78
  4. Step 4: Simplify right side
    3,670.18x = 11,855,753.02
  5. Step 5: Solve for x
    x = 11,855,753.02/3,670.18
  6. Step 6: Final answer
    x = 3,230.29

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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.