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Finding the Fourth Proportional to 5,390.97, 7,439.14 and 3,032.66

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Solution

The fourth proportional to 5,390.97, 7,439.14 and 3,032.66 is: 4,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.97 : 7,439.14 = 3,032.66 : x
  2. Step 2: Convert to fraction form
    5,390.97/7,439.14 = 3,032.66/x
  3. Step 3: Cross multiply
    5,390.97x = 7,439.14 × 3,032.66
  4. Step 4: Simplify right side
    5,390.97x = 22,560,345.12
  5. Step 5: Solve for x
    x = 22,560,345.12/5,390.97
  6. Step 6: Final answer
    x = 4,184.84

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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.