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Finding the Fourth Proportional to 3,877.68, 5,818.77 and 1,537.89

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Solution

The fourth proportional to 3,877.68, 5,818.77 and 1,537.89 is: 2,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.68 : 5,818.77 = 1,537.89 : x
  2. Step 2: Convert to fraction form
    3,877.68/5,818.77 = 1,537.89/x
  3. Step 3: Cross multiply
    3,877.68x = 5,818.77 × 1,537.89
  4. Step 4: Simplify right side
    3,877.68x = 8,948,628.20
  5. Step 5: Solve for x
    x = 8,948,628.20/3,877.68
  6. Step 6: Final answer
    x = 2,307.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.