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Finding the Fourth Proportional to 3,494.46, 5,242.21 and 1,154.72

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Solution

The fourth proportional to 3,494.46, 5,242.21 and 1,154.72 is: 1,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.46 : 5,242.21 = 1,154.72 : x
  2. Step 2: Convert to fraction form
    3,494.46/5,242.21 = 1,154.72/x
  3. Step 3: Cross multiply
    3,494.46x = 5,242.21 × 1,154.72
  4. Step 4: Simplify right side
    3,494.46x = 6,053,258.52
  5. Step 5: Solve for x
    x = 6,053,258.52/3,494.46
  6. Step 6: Final answer
    x = 1,732.24

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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.