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Finding the Fourth Proportional to 3,747.58, 5,620.95 and 974.49

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Solution

The fourth proportional to 3,747.58, 5,620.95 and 974.49 is: 1,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.58 : 5,620.95 = 974.49 : x
  2. Step 2: Convert to fraction form
    3,747.58/5,620.95 = 974.49/x
  3. Step 3: Cross multiply
    3,747.58x = 5,620.95 × 974.49
  4. Step 4: Simplify right side
    3,747.58x = 5,477,559.57
  5. Step 5: Solve for x
    x = 5,477,559.57/3,747.58
  6. Step 6: Final answer
    x = 1,461.63

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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.