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Finding the Fourth Proportional to 3,833.32, 5,752.54 and 2,102.44

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Solution

The fourth proportional to 3,833.32, 5,752.54 and 2,102.44 is: 3,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.32 : 5,752.54 = 2,102.44 : x
  2. Step 2: Convert to fraction form
    3,833.32/5,752.54 = 2,102.44/x
  3. Step 3: Cross multiply
    3,833.32x = 5,752.54 × 2,102.44
  4. Step 4: Simplify right side
    3,833.32x = 12,094,370.20
  5. Step 5: Solve for x
    x = 12,094,370.20/3,833.32
  6. Step 6: Final answer
    x = 3,155.06

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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.