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Finding the Fourth Proportional to 4,308.43, 6,462.67 and 1,535.21

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Solution

The fourth proportional to 4,308.43, 6,462.67 and 1,535.21 is: 2,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.43 : 6,462.67 = 1,535.21 : x
  2. Step 2: Convert to fraction form
    4,308.43/6,462.67 = 1,535.21/x
  3. Step 3: Cross multiply
    4,308.43x = 6,462.67 × 1,535.21
  4. Step 4: Simplify right side
    4,308.43x = 9,921,555.61
  5. Step 5: Solve for x
    x = 9,921,555.61/4,308.43
  6. Step 6: Final answer
    x = 2,302.82

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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.