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Finding the Fourth Proportional to 3,877.61, 5,349.44 and 3,034.93

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Solution

The fourth proportional to 3,877.61, 5,349.44 and 3,034.93 is: 4,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.61 : 5,349.44 = 3,034.93 : x
  2. Step 2: Convert to fraction form
    3,877.61/5,349.44 = 3,034.93/x
  3. Step 3: Cross multiply
    3,877.61x = 5,349.44 × 3,034.93
  4. Step 4: Simplify right side
    3,877.61x = 16,235,175.94
  5. Step 5: Solve for x
    x = 16,235,175.94/3,877.61
  6. Step 6: Final answer
    x = 4,186.90

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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.