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Finding the Fourth Proportional to 3,404.91, 4,700.57 and 2,291.70

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Solution

The fourth proportional to 3,404.91, 4,700.57 and 2,291.70 is: 3,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.91 : 4,700.57 = 2,291.70 : x
  2. Step 2: Convert to fraction form
    3,404.91/4,700.57 = 2,291.70/x
  3. Step 3: Cross multiply
    3,404.91x = 4,700.57 × 2,291.70
  4. Step 4: Simplify right side
    3,404.91x = 10,772,296.27
  5. Step 5: Solve for x
    x = 10,772,296.27/3,404.91
  6. Step 6: Final answer
    x = 3,163.75

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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.