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Finding the Fourth Proportional to 4,326.41, 6,488.17 and 1,404

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Solution

The fourth proportional to 4,326.41, 6,488.17 and 1,404 is: 2,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.41 : 6,488.17 = 1,404 : x
  2. Step 2: Convert to fraction form
    4,326.41/6,488.17 = 1,404/x
  3. Step 3: Cross multiply
    4,326.41x = 6,488.17 × 1,404
  4. Step 4: Simplify right side
    4,326.41x = 9,109,387.17
  5. Step 5: Solve for x
    x = 9,109,387.17/4,326.41
  6. Step 6: Final answer
    x = 2,105.53

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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.