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Finding the Fourth Proportional to 5,298.68, 7,311.84 and 2,940.82

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Solution

The fourth proportional to 5,298.68, 7,311.84 and 2,940.82 is: 4,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.68 : 7,311.84 = 2,940.82 : x
  2. Step 2: Convert to fraction form
    5,298.68/7,311.84 = 2,940.82/x
  3. Step 3: Cross multiply
    5,298.68x = 7,311.84 × 2,940.82
  4. Step 4: Simplify right side
    5,298.68x = 21,502,805.31
  5. Step 5: Solve for x
    x = 21,502,805.31/5,298.68
  6. Step 6: Final answer
    x = 4,058.14

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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.