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Finding the Fourth Proportional to 5,730.70, 8,591.05 and 2,223.10

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Solution

The fourth proportional to 5,730.70, 8,591.05 and 2,223.10 is: 3,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.70 : 8,591.05 = 2,223.10 : x
  2. Step 2: Convert to fraction form
    5,730.70/8,591.05 = 2,223.10/x
  3. Step 3: Cross multiply
    5,730.70x = 8,591.05 × 2,223.10
  4. Step 4: Simplify right side
    5,730.70x = 19,098,763.26
  5. Step 5: Solve for x
    x = 19,098,763.26/5,730.70
  6. Step 6: Final answer
    x = 3,332.71

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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.