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Finding the Fourth Proportional to 5,338.16, 7,365.78 and 2,980.30

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Solution

The fourth proportional to 5,338.16, 7,365.78 and 2,980.30 is: 4,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.16 : 7,365.78 = 2,980.30 : x
  2. Step 2: Convert to fraction form
    5,338.16/7,365.78 = 2,980.30/x
  3. Step 3: Cross multiply
    5,338.16x = 7,365.78 × 2,980.30
  4. Step 4: Simplify right side
    5,338.16x = 21,952,234.13
  5. Step 5: Solve for x
    x = 21,952,234.13/5,338.16
  6. Step 6: Final answer
    x = 4,112.32

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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.