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Finding the Fourth Proportional to 3,595.76, 4,961.82 and 2,002.12

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Solution

The fourth proportional to 3,595.76, 4,961.82 and 2,002.12 is: 2,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.76 : 4,961.82 = 2,002.12 : x
  2. Step 2: Convert to fraction form
    3,595.76/4,961.82 = 2,002.12/x
  3. Step 3: Cross multiply
    3,595.76x = 4,961.82 × 2,002.12
  4. Step 4: Simplify right side
    3,595.76x = 9,934,154.16
  5. Step 5: Solve for x
    x = 9,934,154.16/3,595.76
  6. Step 6: Final answer
    x = 2,762.74

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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.