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Finding the Fourth Proportional to 5,741.91, 7,920.05 and 3,754.17

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Solution

The fourth proportional to 5,741.91, 7,920.05 and 3,754.17 is: 5,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.91 : 7,920.05 = 3,754.17 : x
  2. Step 2: Convert to fraction form
    5,741.91/7,920.05 = 3,754.17/x
  3. Step 3: Cross multiply
    5,741.91x = 7,920.05 × 3,754.17
  4. Step 4: Simplify right side
    5,741.91x = 29,733,195.34
  5. Step 5: Solve for x
    x = 29,733,195.34/5,741.91
  6. Step 6: Final answer
    x = 5,178.28

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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.