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Finding the Fourth Proportional to 3,878.43, 5,349.37 and 2,460.90

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Solution

The fourth proportional to 3,878.43, 5,349.37 and 2,460.90 is: 3,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.43 : 5,349.37 = 2,460.90 : x
  2. Step 2: Convert to fraction form
    3,878.43/5,349.37 = 2,460.90/x
  3. Step 3: Cross multiply
    3,878.43x = 5,349.37 × 2,460.90
  4. Step 4: Simplify right side
    3,878.43x = 13,164,225.58
  5. Step 5: Solve for x
    x = 13,164,225.58/3,878.43
  6. Step 6: Final answer
    x = 3,394.22

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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.