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Finding the Fourth Proportional to 3,587.86, 4,951.02 and 2,096.20

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Solution

The fourth proportional to 3,587.86, 4,951.02 and 2,096.20 is: 2,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.86 : 4,951.02 = 2,096.20 : x
  2. Step 2: Convert to fraction form
    3,587.86/4,951.02 = 2,096.20/x
  3. Step 3: Cross multiply
    3,587.86x = 4,951.02 × 2,096.20
  4. Step 4: Simplify right side
    3,587.86x = 10,378,328.12
  5. Step 5: Solve for x
    x = 10,378,328.12/3,587.86
  6. Step 6: Final answer
    x = 2,892.62

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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.