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Finding the Fourth Proportional to 6,311.72, 8,710.16 and 3,478.88

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Solution

The fourth proportional to 6,311.72, 8,710.16 and 3,478.88 is: 4,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.72 : 8,710.16 = 3,478.88 : x
  2. Step 2: Convert to fraction form
    6,311.72/8,710.16 = 3,478.88/x
  3. Step 3: Cross multiply
    6,311.72x = 8,710.16 × 3,478.88
  4. Step 4: Simplify right side
    6,311.72x = 30,301,601.42
  5. Step 5: Solve for x
    x = 30,301,601.42/6,311.72
  6. Step 6: Final answer
    x = 4,800.85

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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.