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Finding the Fourth Proportional to 3,257.64, 4,494.14 and 2,196.10

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Solution

The fourth proportional to 3,257.64, 4,494.14 and 2,196.10 is: 3,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.64 : 4,494.14 = 2,196.10 : x
  2. Step 2: Convert to fraction form
    3,257.64/4,494.14 = 2,196.10/x
  3. Step 3: Cross multiply
    3,257.64x = 4,494.14 × 2,196.10
  4. Step 4: Simplify right side
    3,257.64x = 9,869,580.85
  5. Step 5: Solve for x
    x = 9,869,580.85/3,257.64
  6. Step 6: Final answer
    x = 3,029.67

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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.