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Finding the Fourth Proportional to 3,877.32, 5,345.06 and 3,344.60

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Solution

The fourth proportional to 3,877.32, 5,345.06 and 3,344.60 is: 4,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.32 : 5,345.06 = 3,344.60 : x
  2. Step 2: Convert to fraction form
    3,877.32/5,345.06 = 3,344.60/x
  3. Step 3: Cross multiply
    3,877.32x = 5,345.06 × 3,344.60
  4. Step 4: Simplify right side
    3,877.32x = 17,877,087.68
  5. Step 5: Solve for x
    x = 17,877,087.68/3,877.32
  6. Step 6: Final answer
    x = 4,610.68

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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.