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Finding the Fourth Proportional to 4,397.46, 6,585.78 and 3,817.19

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Solution

The fourth proportional to 4,397.46, 6,585.78 and 3,817.19 is: 5,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.46 : 6,585.78 = 3,817.19 : x
  2. Step 2: Convert to fraction form
    4,397.46/6,585.78 = 3,817.19/x
  3. Step 3: Cross multiply
    4,397.46x = 6,585.78 × 3,817.19
  4. Step 4: Simplify right side
    4,397.46x = 25,139,140.63
  5. Step 5: Solve for x
    x = 25,139,140.63/4,397.46
  6. Step 6: Final answer
    x = 5,716.74

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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.