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Finding the Fourth Proportional to 5,702.66, 8,553.27 and 2,242.34

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Solution

The fourth proportional to 5,702.66, 8,553.27 and 2,242.34 is: 3,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.66 : 8,553.27 = 2,242.34 : x
  2. Step 2: Convert to fraction form
    5,702.66/8,553.27 = 2,242.34/x
  3. Step 3: Cross multiply
    5,702.66x = 8,553.27 × 2,242.34
  4. Step 4: Simplify right side
    5,702.66x = 19,179,339.45
  5. Step 5: Solve for x
    x = 19,179,339.45/5,702.66
  6. Step 6: Final answer
    x = 3,363.23

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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.