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Finding the Fourth Proportional to 3,702.96, 5,565.24 and 3,265.56

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Solution

The fourth proportional to 3,702.96, 5,565.24 and 3,265.56 is: 4,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.96 : 5,565.24 = 3,265.56 : x
  2. Step 2: Convert to fraction form
    3,702.96/5,565.24 = 3,265.56/x
  3. Step 3: Cross multiply
    3,702.96x = 5,565.24 × 3,265.56
  4. Step 4: Simplify right side
    3,702.96x = 18,173,625.13
  5. Step 5: Solve for x
    x = 18,173,625.13/3,702.96
  6. Step 6: Final answer
    x = 4,907.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.