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Finding the Fourth Proportional to 5,397.84, 7,449.06 and 3,040.02

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Solution

The fourth proportional to 5,397.84, 7,449.06 and 3,040.02 is: 4,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.84 : 7,449.06 = 3,040.02 : x
  2. Step 2: Convert to fraction form
    5,397.84/7,449.06 = 3,040.02/x
  3. Step 3: Cross multiply
    5,397.84x = 7,449.06 × 3,040.02
  4. Step 4: Simplify right side
    5,397.84x = 22,645,291.38
  5. Step 5: Solve for x
    x = 22,645,291.38/5,397.84
  6. Step 6: Final answer
    x = 4,195.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.