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Finding the Fourth Proportional to 5,590.97, 7,717.16 and 3,727.97

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Solution

The fourth proportional to 5,590.97, 7,717.16 and 3,727.97 is: 5,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.97 : 7,717.16 = 3,727.97 : x
  2. Step 2: Convert to fraction form
    5,590.97/7,717.16 = 3,727.97/x
  3. Step 3: Cross multiply
    5,590.97x = 7,717.16 × 3,727.97
  4. Step 4: Simplify right side
    5,590.97x = 28,769,319.67
  5. Step 5: Solve for x
    x = 28,769,319.67/5,590.97
  6. Step 6: Final answer
    x = 5,145.68

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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.