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Finding the Fourth Proportional to 4,618.34, 6,926.26 and 2,150.74

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Solution

The fourth proportional to 4,618.34, 6,926.26 and 2,150.74 is: 3,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.34 : 6,926.26 = 2,150.74 : x
  2. Step 2: Convert to fraction form
    4,618.34/6,926.26 = 2,150.74/x
  3. Step 3: Cross multiply
    4,618.34x = 6,926.26 × 2,150.74
  4. Step 4: Simplify right side
    4,618.34x = 14,896,584.43
  5. Step 5: Solve for x
    x = 14,896,584.43/4,618.34
  6. Step 6: Final answer
    x = 3,225.53

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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.