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Finding the Fourth Proportional to 3,458.46, 5,117.16 and 3,448.74

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Solution

The fourth proportional to 3,458.46, 5,117.16 and 3,448.74 is: 5,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.46 : 5,117.16 = 3,448.74 : x
  2. Step 2: Convert to fraction form
    3,458.46/5,117.16 = 3,448.74/x
  3. Step 3: Cross multiply
    3,458.46x = 5,117.16 × 3,448.74
  4. Step 4: Simplify right side
    3,458.46x = 17,647,754.38
  5. Step 5: Solve for x
    x = 17,647,754.38/3,458.46
  6. Step 6: Final answer
    x = 5,102.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.