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Finding the Fourth Proportional to 3,877.40, 5,789.84 and 3,046.34

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Solution

The fourth proportional to 3,877.40, 5,789.84 and 3,046.34 is: 4,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.40 : 5,789.84 = 3,046.34 : x
  2. Step 2: Convert to fraction form
    3,877.40/5,789.84 = 3,046.34/x
  3. Step 3: Cross multiply
    3,877.40x = 5,789.84 × 3,046.34
  4. Step 4: Simplify right side
    3,877.40x = 17,637,821.19
  5. Step 5: Solve for x
    x = 17,637,821.19/3,877.40
  6. Step 6: Final answer
    x = 4,548.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.