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Finding the Fourth Proportional to 5,478.71, 8,218.06 and 2,706.68

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Solution

The fourth proportional to 5,478.71, 8,218.06 and 2,706.68 is: 4,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.71 : 8,218.06 = 2,706.68 : x
  2. Step 2: Convert to fraction form
    5,478.71/8,218.06 = 2,706.68/x
  3. Step 3: Cross multiply
    5,478.71x = 8,218.06 × 2,706.68
  4. Step 4: Simplify right side
    5,478.71x = 22,243,672.42
  5. Step 5: Solve for x
    x = 22,243,672.42/5,478.71
  6. Step 6: Final answer
    x = 4,060.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.