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Finding the Fourth Proportional to 5,351.74, 7,386.70 and 3,257.62

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Solution

The fourth proportional to 5,351.74, 7,386.70 and 3,257.62 is: 4,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.74 : 7,386.70 = 3,257.62 : x
  2. Step 2: Convert to fraction form
    5,351.74/7,386.70 = 3,257.62/x
  3. Step 3: Cross multiply
    5,351.74x = 7,386.70 × 3,257.62
  4. Step 4: Simplify right side
    5,351.74x = 24,063,061.65
  5. Step 5: Solve for x
    x = 24,063,061.65/5,351.74
  6. Step 6: Final answer
    x = 4,496.31

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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.