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Finding the Fourth Proportional to 4,295.34, 6,441.87 and 1,521.66

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Solution

The fourth proportional to 4,295.34, 6,441.87 and 1,521.66 is: 2,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.34 : 6,441.87 = 1,521.66 : x
  2. Step 2: Convert to fraction form
    4,295.34/6,441.87 = 1,521.66/x
  3. Step 3: Cross multiply
    4,295.34x = 6,441.87 × 1,521.66
  4. Step 4: Simplify right side
    4,295.34x = 9,802,335.90
  5. Step 5: Solve for x
    x = 9,802,335.90/4,295.34
  6. Step 6: Final answer
    x = 2,282.09

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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.