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Finding the Fourth Proportional to 4,132, 5,702.16 and 2,269.12

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Solution

The fourth proportional to 4,132, 5,702.16 and 2,269.12 is: 3,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132 : 5,702.16 = 2,269.12 : x
  2. Step 2: Convert to fraction form
    4,132/5,702.16 = 2,269.12/x
  3. Step 3: Cross multiply
    4,132x = 5,702.16 × 2,269.12
  4. Step 4: Simplify right side
    4,132x = 12,938,885.30
  5. Step 5: Solve for x
    x = 12,938,885.30/4,132
  6. Step 6: Final answer
    x = 3,131.39

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1.5x scale

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.