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Finding the Fourth Proportional to 4,295.28, 6,443.17 and 1,334

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Solution

The fourth proportional to 4,295.28, 6,443.17 and 1,334 is: 2,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.28 : 6,443.17 = 1,334 : x
  2. Step 2: Convert to fraction form
    4,295.28/6,443.17 = 1,334/x
  3. Step 3: Cross multiply
    4,295.28x = 6,443.17 × 1,334
  4. Step 4: Simplify right side
    4,295.28x = 8,595,188.78
  5. Step 5: Solve for x
    x = 8,595,188.78/4,295.28
  6. Step 6: Final answer
    x = 2,001.08

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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.