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Finding the Fourth Proportional to 3,924.98, 5,888.26 and 1,151.74

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Solution

The fourth proportional to 3,924.98, 5,888.26 and 1,151.74 is: 1,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.98 : 5,888.26 = 1,151.74 : x
  2. Step 2: Convert to fraction form
    3,924.98/5,888.26 = 1,151.74/x
  3. Step 3: Cross multiply
    3,924.98x = 5,888.26 × 1,151.74
  4. Step 4: Simplify right side
    3,924.98x = 6,781,744.57
  5. Step 5: Solve for x
    x = 6,781,744.57/3,924.98
  6. Step 6: Final answer
    x = 1,727.84

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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.