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Finding the Fourth Proportional to 5,293.66, 7,940.34 and 1,398.08

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Solution

The fourth proportional to 5,293.66, 7,940.34 and 1,398.08 is: 2,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.66 : 7,940.34 = 1,398.08 : x
  2. Step 2: Convert to fraction form
    5,293.66/7,940.34 = 1,398.08/x
  3. Step 3: Cross multiply
    5,293.66x = 7,940.34 × 1,398.08
  4. Step 4: Simplify right side
    5,293.66x = 11,101,230.55
  5. Step 5: Solve for x
    x = 11,101,230.55/5,293.66
  6. Step 6: Final answer
    x = 2,097.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.