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Finding the Fourth Proportional to 3,458.57, 4,772.64 and 2,116.41

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Solution

The fourth proportional to 3,458.57, 4,772.64 and 2,116.41 is: 2,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.57 : 4,772.64 = 2,116.41 : x
  2. Step 2: Convert to fraction form
    3,458.57/4,772.64 = 2,116.41/x
  3. Step 3: Cross multiply
    3,458.57x = 4,772.64 × 2,116.41
  4. Step 4: Simplify right side
    3,458.57x = 10,100,853.06
  5. Step 5: Solve for x
    x = 10,100,853.06/3,458.57
  6. Step 6: Final answer
    x = 2,920.53

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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.