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Finding the Fourth Proportional to 4,209.52, 6,314.28 and 1,287.82

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Solution

The fourth proportional to 4,209.52, 6,314.28 and 1,287.82 is: 1,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.52 : 6,314.28 = 1,287.82 : x
  2. Step 2: Convert to fraction form
    4,209.52/6,314.28 = 1,287.82/x
  3. Step 3: Cross multiply
    4,209.52x = 6,314.28 × 1,287.82
  4. Step 4: Simplify right side
    4,209.52x = 8,131,680.51
  5. Step 5: Solve for x
    x = 8,131,680.51/4,209.52
  6. Step 6: Final answer
    x = 1,931.74

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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.