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Finding the Fourth Proportional to 5,312.97, 7,969.46 and 1,615.23

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Solution

The fourth proportional to 5,312.97, 7,969.46 and 1,615.23 is: 2,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.97 : 7,969.46 = 1,615.23 : x
  2. Step 2: Convert to fraction form
    5,312.97/7,969.46 = 1,615.23/x
  3. Step 3: Cross multiply
    5,312.97x = 7,969.46 × 1,615.23
  4. Step 4: Simplify right side
    5,312.97x = 12,872,502.80
  5. Step 5: Solve for x
    x = 12,872,502.80/5,312.97
  6. Step 6: Final answer
    x = 2,422.85

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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.