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Finding the Fourth Proportional to 3,702.76, 5,109.65 and 2,024.09

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Solution

The fourth proportional to 3,702.76, 5,109.65 and 2,024.09 is: 2,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.76 : 5,109.65 = 2,024.09 : x
  2. Step 2: Convert to fraction form
    3,702.76/5,109.65 = 2,024.09/x
  3. Step 3: Cross multiply
    3,702.76x = 5,109.65 × 2,024.09
  4. Step 4: Simplify right side
    3,702.76x = 10,342,391.47
  5. Step 5: Solve for x
    x = 10,342,391.47/3,702.76
  6. Step 6: Final answer
    x = 2,793.16

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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.