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Finding the Fourth Proportional to 5,702.26, 8,571.63 and 5,296.45

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Solution

The fourth proportional to 5,702.26, 8,571.63 and 5,296.45 is: 7,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.26 : 8,571.63 = 5,296.45 : x
  2. Step 2: Convert to fraction form
    5,702.26/8,571.63 = 5,296.45/x
  3. Step 3: Cross multiply
    5,702.26x = 8,571.63 × 5,296.45
  4. Step 4: Simplify right side
    5,702.26x = 45,399,209.71
  5. Step 5: Solve for x
    x = 45,399,209.71/5,702.26
  6. Step 6: Final answer
    x = 7,961.62

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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.