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Finding the Fourth Proportional to 4,251.33, 6,378.12 and 1,478.00

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Solution

The fourth proportional to 4,251.33, 6,378.12 and 1,478.00 is: 2,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.33 : 6,378.12 = 1,478.00 : x
  2. Step 2: Convert to fraction form
    4,251.33/6,378.12 = 1,478.00/x
  3. Step 3: Cross multiply
    4,251.33x = 6,378.12 × 1,478.00
  4. Step 4: Simplify right side
    4,251.33x = 9,426,829.47
  5. Step 5: Solve for x
    x = 9,426,829.47/4,251.33
  6. Step 6: Final answer
    x = 2,217.38

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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.