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Finding the Fourth Proportional to 3,877.61, 5,360.92 and 3,434.54

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Solution

The fourth proportional to 3,877.61, 5,360.92 and 3,434.54 is: 4,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.61 : 5,360.92 = 3,434.54 : x
  2. Step 2: Convert to fraction form
    3,877.61/5,360.92 = 3,434.54/x
  3. Step 3: Cross multiply
    3,877.61x = 5,360.92 × 3,434.54
  4. Step 4: Simplify right side
    3,877.61x = 18,412,258.79
  5. Step 5: Solve for x
    x = 18,412,258.79/3,877.61
  6. Step 6: Final answer
    x = 4,748.36

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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.