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Finding the Fourth Proportional to 5,216.45, 7,199.42 and 2,978.53

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Solution

The fourth proportional to 5,216.45, 7,199.42 and 2,978.53 is: 4,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.45 : 7,199.42 = 2,978.53 : x
  2. Step 2: Convert to fraction form
    5,216.45/7,199.42 = 2,978.53/x
  3. Step 3: Cross multiply
    5,216.45x = 7,199.42 × 2,978.53
  4. Step 4: Simplify right side
    5,216.45x = 21,443,655.56
  5. Step 5: Solve for x
    x = 21,443,655.56/5,216.45
  6. Step 6: Final answer
    x = 4,110.78

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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.