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Finding the Fourth Proportional to 4,470.68, 6,704.22 and 2,278.64

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Solution

The fourth proportional to 4,470.68, 6,704.22 and 2,278.64 is: 3,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.68 : 6,704.22 = 2,278.64 : x
  2. Step 2: Convert to fraction form
    4,470.68/6,704.22 = 2,278.64/x
  3. Step 3: Cross multiply
    4,470.68x = 6,704.22 × 2,278.64
  4. Step 4: Simplify right side
    4,470.68x = 15,276,503.86
  5. Step 5: Solve for x
    x = 15,276,503.86/4,470.68
  6. Step 6: Final answer
    x = 3,417.04

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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.