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Finding the Fourth Proportional to 5,677.76, 8,515.92 and 4,219.04

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Solution

The fourth proportional to 5,677.76, 8,515.92 and 4,219.04 is: 6,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.76 : 8,515.92 = 4,219.04 : x
  2. Step 2: Convert to fraction form
    5,677.76/8,515.92 = 4,219.04/x
  3. Step 3: Cross multiply
    5,677.76x = 8,515.92 × 4,219.04
  4. Step 4: Simplify right side
    5,677.76x = 35,929,007.12
  5. Step 5: Solve for x
    x = 35,929,007.12/5,677.76
  6. Step 6: Final answer
    x = 6,328.02

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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.