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Finding the Fourth Proportional to 3,836.16, 5,748.48 and 3,498.24

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Solution

The fourth proportional to 3,836.16, 5,748.48 and 3,498.24 is: 5,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.16 : 5,748.48 = 3,498.24 : x
  2. Step 2: Convert to fraction form
    3,836.16/5,748.48 = 3,498.24/x
  3. Step 3: Cross multiply
    3,836.16x = 5,748.48 × 3,498.24
  4. Step 4: Simplify right side
    3,836.16x = 20,109,562.68
  5. Step 5: Solve for x
    x = 20,109,562.68/3,836.16
  6. Step 6: Final answer
    x = 5,242.11

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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.