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Finding the Fourth Proportional to 3,899.26, 5,849.09 and 977.59

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Solution

The fourth proportional to 3,899.26, 5,849.09 and 977.59 is: 1,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.26 : 5,849.09 = 977.59 : x
  2. Step 2: Convert to fraction form
    3,899.26/5,849.09 = 977.59/x
  3. Step 3: Cross multiply
    3,899.26x = 5,849.09 × 977.59
  4. Step 4: Simplify right side
    3,899.26x = 5,718,011.89
  5. Step 5: Solve for x
    x = 5,718,011.89/3,899.26
  6. Step 6: Final answer
    x = 1,466.44

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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.