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Finding the Fourth Proportional to 3,657.54, 5,488.74 and 3,414.54

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Solution

The fourth proportional to 3,657.54, 5,488.74 and 3,414.54 is: 5,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.54 : 5,488.74 = 3,414.54 : x
  2. Step 2: Convert to fraction form
    3,657.54/5,488.74 = 3,414.54/x
  3. Step 3: Cross multiply
    3,657.54x = 5,488.74 × 3,414.54
  4. Step 4: Simplify right side
    3,657.54x = 18,741,522.28
  5. Step 5: Solve for x
    x = 18,741,522.28/3,657.54
  6. Step 6: Final answer
    x = 5,124.08

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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.