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Finding the Fourth Proportional to 4,206.75, 6,310.25 and 1,128.75

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Solution

The fourth proportional to 4,206.75, 6,310.25 and 1,128.75 is: 1,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.75 : 6,310.25 = 1,128.75 : x
  2. Step 2: Convert to fraction form
    4,206.75/6,310.25 = 1,128.75/x
  3. Step 3: Cross multiply
    4,206.75x = 6,310.25 × 1,128.75
  4. Step 4: Simplify right side
    4,206.75x = 7,122,689.04
  5. Step 5: Solve for x
    x = 7,122,689.04/4,206.75
  6. Step 6: Final answer
    x = 1,693.16

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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.