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Finding the Fourth Proportional to 5,218.40, 7,201.89 and 2,980.61

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Solution

The fourth proportional to 5,218.40, 7,201.89 and 2,980.61 is: 4,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.40 : 7,201.89 = 2,980.61 : x
  2. Step 2: Convert to fraction form
    5,218.40/7,201.89 = 2,980.61/x
  3. Step 3: Cross multiply
    5,218.40x = 7,201.89 × 2,980.61
  4. Step 4: Simplify right side
    5,218.40x = 21,466,054.53
  5. Step 5: Solve for x
    x = 21,466,054.53/5,218.40
  6. Step 6: Final answer
    x = 4,113.53

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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.