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Finding the Fourth Proportional to 3,702.77, 5,109.73 and 2,024.13

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Solution

The fourth proportional to 3,702.77, 5,109.73 and 2,024.13 is: 2,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.77 : 5,109.73 = 2,024.13 : x
  2. Step 2: Convert to fraction form
    3,702.77/5,109.73 = 2,024.13/x
  3. Step 3: Cross multiply
    3,702.77x = 5,109.73 × 2,024.13
  4. Step 4: Simplify right side
    3,702.77x = 10,342,752.72
  5. Step 5: Solve for x
    x = 10,342,752.72/3,702.77
  6. Step 6: Final answer
    x = 2,793.25

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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.