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Finding the Fourth Proportional to 4,217.76, 6,326.55 and 1,296

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Solution

The fourth proportional to 4,217.76, 6,326.55 and 1,296 is: 1,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.76 : 6,326.55 = 1,296 : x
  2. Step 2: Convert to fraction form
    4,217.76/6,326.55 = 1,296/x
  3. Step 3: Cross multiply
    4,217.76x = 6,326.55 × 1,296
  4. Step 4: Simplify right side
    4,217.76x = 8,199,208.80
  5. Step 5: Solve for x
    x = 8,199,208.80/4,217.76
  6. Step 6: Final answer
    x = 1,943.97

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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.