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Finding the Fourth Proportional to 5,738.19, 7,926.51 and 4,494.98

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Solution

The fourth proportional to 5,738.19, 7,926.51 and 4,494.98 is: 6,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.19 : 7,926.51 = 4,494.98 : x
  2. Step 2: Convert to fraction form
    5,738.19/7,926.51 = 4,494.98/x
  3. Step 3: Cross multiply
    5,738.19x = 7,926.51 × 4,494.98
  4. Step 4: Simplify right side
    5,738.19x = 35,629,464.29
  5. Step 5: Solve for x
    x = 35,629,464.29/5,738.19
  6. Step 6: Final answer
    x = 6,209.18

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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.