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Finding the Fourth Proportional to 4,358.26, 6,538.46 and 1,280.26

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Solution

The fourth proportional to 4,358.26, 6,538.46 and 1,280.26 is: 1,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.26 : 6,538.46 = 1,280.26 : x
  2. Step 2: Convert to fraction form
    4,358.26/6,538.46 = 1,280.26/x
  3. Step 3: Cross multiply
    4,358.26x = 6,538.46 × 1,280.26
  4. Step 4: Simplify right side
    4,358.26x = 8,370,928.80
  5. Step 5: Solve for x
    x = 8,370,928.80/4,358.26
  6. Step 6: Final answer
    x = 1,920.70

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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.