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Finding the Fourth Proportional to 5,715.33, 8,573.10 and 2,017.47

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Solution

The fourth proportional to 5,715.33, 8,573.10 and 2,017.47 is: 3,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.33 : 8,573.10 = 2,017.47 : x
  2. Step 2: Convert to fraction form
    5,715.33/8,573.10 = 2,017.47/x
  3. Step 3: Cross multiply
    5,715.33x = 8,573.10 × 2,017.47
  4. Step 4: Simplify right side
    5,715.33x = 17,295,972.06
  5. Step 5: Solve for x
    x = 17,295,972.06/5,715.33
  6. Step 6: Final answer
    x = 3,026.24

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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.