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Finding the Fourth Proportional to 5,742.72, 7,924.47 and 3,474.91

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Solution

The fourth proportional to 5,742.72, 7,924.47 and 3,474.91 is: 4,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.72 : 7,924.47 = 3,474.91 : x
  2. Step 2: Convert to fraction form
    5,742.72/7,924.47 = 3,474.91/x
  3. Step 3: Cross multiply
    5,742.72x = 7,924.47 × 3,474.91
  4. Step 4: Simplify right side
    5,742.72x = 27,536,820.05
  5. Step 5: Solve for x
    x = 27,536,820.05/5,742.72
  6. Step 6: Final answer
    x = 4,795.08

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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.