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Finding the Fourth Proportional to 5,101.97, 7,654.57 and 3,870.77

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Solution

The fourth proportional to 5,101.97, 7,654.57 and 3,870.77 is: 5,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.97 : 7,654.57 = 3,870.77 : x
  2. Step 2: Convert to fraction form
    5,101.97/7,654.57 = 3,870.77/x
  3. Step 3: Cross multiply
    5,101.97x = 7,654.57 × 3,870.77
  4. Step 4: Simplify right side
    5,101.97x = 29,629,031.97
  5. Step 5: Solve for x
    x = 29,629,031.97/5,101.97
  6. Step 6: Final answer
    x = 5,807.38

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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.