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Finding the Fourth Proportional to 3,188.74, 4,774.24 and 2,406.38

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Solution

The fourth proportional to 3,188.74, 4,774.24 and 2,406.38 is: 3,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.74 : 4,774.24 = 2,406.38 : x
  2. Step 2: Convert to fraction form
    3,188.74/4,774.24 = 2,406.38/x
  3. Step 3: Cross multiply
    3,188.74x = 4,774.24 × 2,406.38
  4. Step 4: Simplify right side
    3,188.74x = 11,488,635.65
  5. Step 5: Solve for x
    x = 11,488,635.65/3,188.74
  6. Step 6: Final answer
    x = 3,602.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.