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Finding the Fourth Proportional to 4,216.97, 6,326.40 and 1,295.57

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Solution

The fourth proportional to 4,216.97, 6,326.40 and 1,295.57 is: 1,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.97 : 6,326.40 = 1,295.57 : x
  2. Step 2: Convert to fraction form
    4,216.97/6,326.40 = 1,295.57/x
  3. Step 3: Cross multiply
    4,216.97x = 6,326.40 × 1,295.57
  4. Step 4: Simplify right side
    4,216.97x = 8,196,294.05
  5. Step 5: Solve for x
    x = 8,196,294.05/4,216.97
  6. Step 6: Final answer
    x = 1,943.65

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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.