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Finding the Fourth Proportional to 5,216.75, 7,199.33 and 2,978.65

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Solution

The fourth proportional to 5,216.75, 7,199.33 and 2,978.65 is: 4,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.75 : 7,199.33 = 2,978.65 : x
  2. Step 2: Convert to fraction form
    5,216.75/7,199.33 = 2,978.65/x
  3. Step 3: Cross multiply
    5,216.75x = 7,199.33 × 2,978.65
  4. Step 4: Simplify right side
    5,216.75x = 21,444,251.41
  5. Step 5: Solve for x
    x = 21,444,251.41/5,216.75
  6. Step 6: Final answer
    x = 4,110.65

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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.