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Finding the Fourth Proportional to 5,710.86, 7,871.56 and 3,821.76

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Solution

The fourth proportional to 5,710.86, 7,871.56 and 3,821.76 is: 5,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.86 : 7,871.56 = 3,821.76 : x
  2. Step 2: Convert to fraction form
    5,710.86/7,871.56 = 3,821.76/x
  3. Step 3: Cross multiply
    5,710.86x = 7,871.56 × 3,821.76
  4. Step 4: Simplify right side
    5,710.86x = 30,083,213.15
  5. Step 5: Solve for x
    x = 30,083,213.15/5,710.86
  6. Step 6: Final answer
    x = 5,267.72

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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.