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Finding the Fourth Proportional to 4,132, 5,702.25 and 2,269

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Solution

The fourth proportional to 4,132, 5,702.25 and 2,269 is: 3,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132 : 5,702.25 = 2,269 : x
  2. Step 2: Convert to fraction form
    4,132/5,702.25 = 2,269/x
  3. Step 3: Cross multiply
    4,132x = 5,702.25 × 2,269
  4. Step 4: Simplify right side
    4,132x = 12,938,405.25
  5. Step 5: Solve for x
    x = 12,938,405.25/4,132
  6. Step 6: Final answer
    x = 3,131.27

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Why These Related Problems?

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