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Finding the Fourth Proportional to 5,871.78, 8,103.31 and 3,513.47

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Solution

The fourth proportional to 5,871.78, 8,103.31 and 3,513.47 is: 4,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.78 : 8,103.31 = 3,513.47 : x
  2. Step 2: Convert to fraction form
    5,871.78/8,103.31 = 3,513.47/x
  3. Step 3: Cross multiply
    5,871.78x = 8,103.31 × 3,513.47
  4. Step 4: Simplify right side
    5,871.78x = 28,470,687.29
  5. Step 5: Solve for x
    x = 28,470,687.29/5,871.78
  6. Step 6: Final answer
    x = 4,848.73

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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.