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Finding the Fourth Proportional to 4,871.76, 6,722.02 and 3,102.72

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Solution

The fourth proportional to 4,871.76, 6,722.02 and 3,102.72 is: 4,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.76 : 6,722.02 = 3,102.72 : x
  2. Step 2: Convert to fraction form
    4,871.76/6,722.02 = 3,102.72/x
  3. Step 3: Cross multiply
    4,871.76x = 6,722.02 × 3,102.72
  4. Step 4: Simplify right side
    4,871.76x = 20,856,545.89
  5. Step 5: Solve for x
    x = 20,856,545.89/4,871.76
  6. Step 6: Final answer
    x = 4,281.11

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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.