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Finding the Fourth Proportional to 3,877.99, 5,349.47 and 2,385.63

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Solution

The fourth proportional to 3,877.99, 5,349.47 and 2,385.63 is: 3,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.99 : 5,349.47 = 2,385.63 : x
  2. Step 2: Convert to fraction form
    3,877.99/5,349.47 = 2,385.63/x
  3. Step 3: Cross multiply
    3,877.99x = 5,349.47 × 2,385.63
  4. Step 4: Simplify right side
    3,877.99x = 12,761,844.19
  5. Step 5: Solve for x
    x = 12,761,844.19/3,877.99
  6. Step 6: Final answer
    x = 3,290.84

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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.