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Finding the Fourth Proportional to 4,391.39, 6,584 and 1,617.70

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Solution

The fourth proportional to 4,391.39, 6,584 and 1,617.70 is: 2,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,391.39 : 6,584 = 1,617.70 : x
  2. Step 2: Convert to fraction form
    4,391.39/6,584 = 1,617.70/x
  3. Step 3: Cross multiply
    4,391.39x = 6,584 × 1,617.70
  4. Step 4: Simplify right side
    4,391.39x = 10,650,936.80
  5. Step 5: Solve for x
    x = 10,650,936.80/4,391.39
  6. Step 6: Final answer
    x = 2,425.42

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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.