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Finding the Fourth Proportional to 5,871.92, 8,762.33 and 5,248.76

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Solution

The fourth proportional to 5,871.92, 8,762.33 and 5,248.76 is: 7,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.92 : 8,762.33 = 5,248.76 : x
  2. Step 2: Convert to fraction form
    5,871.92/8,762.33 = 5,248.76/x
  3. Step 3: Cross multiply
    5,871.92x = 8,762.33 × 5,248.76
  4. Step 4: Simplify right side
    5,871.92x = 45,991,367.21
  5. Step 5: Solve for x
    x = 45,991,367.21/5,871.92
  6. Step 6: Final answer
    x = 7,832.42

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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.