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Finding the Fourth Proportional to 4,298.71, 5,918.04 and 3,738.88

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Solution

The fourth proportional to 4,298.71, 5,918.04 and 3,738.88 is: 5,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.71 : 5,918.04 = 3,738.88 : x
  2. Step 2: Convert to fraction form
    4,298.71/5,918.04 = 3,738.88/x
  3. Step 3: Cross multiply
    4,298.71x = 5,918.04 × 3,738.88
  4. Step 4: Simplify right side
    4,298.71x = 22,126,811.81
  5. Step 5: Solve for x
    x = 22,126,811.81/4,298.71
  6. Step 6: Final answer
    x = 5,147.32

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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.