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Finding the Fourth Proportional to 3,899.74, 5,384.03 and 2,538.30

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Solution

The fourth proportional to 3,899.74, 5,384.03 and 2,538.30 is: 3,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.74 : 5,384.03 = 2,538.30 : x
  2. Step 2: Convert to fraction form
    3,899.74/5,384.03 = 2,538.30/x
  3. Step 3: Cross multiply
    3,899.74x = 5,384.03 × 2,538.30
  4. Step 4: Simplify right side
    3,899.74x = 13,666,290.85
  5. Step 5: Solve for x
    x = 13,666,290.85/3,899.74
  6. Step 6: Final answer
    x = 3,504.41

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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.