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Finding the Fourth Proportional to 4,188.71, 5,780.23 and 2,698.11

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Solution

The fourth proportional to 4,188.71, 5,780.23 and 2,698.11 is: 3,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.71 : 5,780.23 = 2,698.11 : x
  2. Step 2: Convert to fraction form
    4,188.71/5,780.23 = 2,698.11/x
  3. Step 3: Cross multiply
    4,188.71x = 5,780.23 × 2,698.11
  4. Step 4: Simplify right side
    4,188.71x = 15,595,689.62
  5. Step 5: Solve for x
    x = 15,595,689.62/4,188.71
  6. Step 6: Final answer
    x = 3,723.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.