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Finding the Fourth Proportional to 3,877.61, 5,346.10 and 2,816.91

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Solution

The fourth proportional to 3,877.61, 5,346.10 and 2,816.91 is: 3,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.61 : 5,346.10 = 2,816.91 : x
  2. Step 2: Convert to fraction form
    3,877.61/5,346.10 = 2,816.91/x
  3. Step 3: Cross multiply
    3,877.61x = 5,346.10 × 2,816.91
  4. Step 4: Simplify right side
    3,877.61x = 15,059,486.07
  5. Step 5: Solve for x
    x = 15,059,486.07/3,877.61
  6. Step 6: Final answer
    x = 3,883.71

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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.