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Finding the Fourth Proportional to 5,510.97, 8,267.82 and 1,615.38

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Solution

The fourth proportional to 5,510.97, 8,267.82 and 1,615.38 is: 2,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.97 : 8,267.82 = 1,615.38 : x
  2. Step 2: Convert to fraction form
    5,510.97/8,267.82 = 1,615.38/x
  3. Step 3: Cross multiply
    5,510.97x = 8,267.82 × 1,615.38
  4. Step 4: Simplify right side
    5,510.97x = 13,355,643.10
  5. Step 5: Solve for x
    x = 13,355,643.10/5,510.97
  6. Step 6: Final answer
    x = 2,423.47

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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.