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Finding the Fourth Proportional to 4,132.25, 5,702.51 and 2,269.25

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Solution

The fourth proportional to 4,132.25, 5,702.51 and 2,269.25 is: 3,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.25 : 5,702.51 = 2,269.25 : x
  2. Step 2: Convert to fraction form
    4,132.25/5,702.51 = 2,269.25/x
  3. Step 3: Cross multiply
    4,132.25x = 5,702.51 × 2,269.25
  4. Step 4: Simplify right side
    4,132.25x = 12,940,409.47
  5. Step 5: Solve for x
    x = 12,940,409.47/4,132.25
  6. Step 6: Final answer
    x = 3,131.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.