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Finding the Fourth Proportional to 4,284.52, 6,427 and 1,206.76

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Solution

The fourth proportional to 4,284.52, 6,427 and 1,206.76 is: 1,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.52 : 6,427 = 1,206.76 : x
  2. Step 2: Convert to fraction form
    4,284.52/6,427 = 1,206.76/x
  3. Step 3: Cross multiply
    4,284.52x = 6,427 × 1,206.76
  4. Step 4: Simplify right side
    4,284.52x = 7,755,846.52
  5. Step 5: Solve for x
    x = 7,755,846.52/4,284.52
  6. Step 6: Final answer
    x = 1,810.20

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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.