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Finding the Fourth Proportional to 5,257.18, 7,243.94 and 3,575.67

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Solution

The fourth proportional to 5,257.18, 7,243.94 and 3,575.67 is: 4,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.18 : 7,243.94 = 3,575.67 : x
  2. Step 2: Convert to fraction form
    5,257.18/7,243.94 = 3,575.67/x
  3. Step 3: Cross multiply
    5,257.18x = 7,243.94 × 3,575.67
  4. Step 4: Simplify right side
    5,257.18x = 25,901,920.71
  5. Step 5: Solve for x
    x = 25,901,920.71/5,257.18
  6. Step 6: Final answer
    x = 4,926.96

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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.