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Finding the Fourth Proportional to 3,757.74, 5,635.72 and 1,417.98

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Solution

The fourth proportional to 3,757.74, 5,635.72 and 1,417.98 is: 2,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.74 : 5,635.72 = 1,417.98 : x
  2. Step 2: Convert to fraction form
    3,757.74/5,635.72 = 1,417.98/x
  3. Step 3: Cross multiply
    3,757.74x = 5,635.72 × 1,417.98
  4. Step 4: Simplify right side
    3,757.74x = 7,991,338.25
  5. Step 5: Solve for x
    x = 7,991,338.25/3,757.74
  6. Step 6: Final answer
    x = 2,126.63

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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.