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Finding the Fourth Proportional to 5,422.97, 7,483.86 and 3,065.06

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Solution

The fourth proportional to 5,422.97, 7,483.86 and 3,065.06 is: 4,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.97 : 7,483.86 = 3,065.06 : x
  2. Step 2: Convert to fraction form
    5,422.97/7,483.86 = 3,065.06/x
  3. Step 3: Cross multiply
    5,422.97x = 7,483.86 × 3,065.06
  4. Step 4: Simplify right side
    5,422.97x = 22,938,498.64
  5. Step 5: Solve for x
    x = 22,938,498.64/5,422.97
  6. Step 6: Final answer
    x = 4,229.88

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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.