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Finding the Fourth Proportional to 5,943.95, 8,202.03 and 3,291.29

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Solution

The fourth proportional to 5,943.95, 8,202.03 and 3,291.29 is: 4,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.95 : 8,202.03 = 3,291.29 : x
  2. Step 2: Convert to fraction form
    5,943.95/8,202.03 = 3,291.29/x
  3. Step 3: Cross multiply
    5,943.95x = 8,202.03 × 3,291.29
  4. Step 4: Simplify right side
    5,943.95x = 26,995,259.32
  5. Step 5: Solve for x
    x = 26,995,259.32/5,943.95
  6. Step 6: Final answer
    x = 4,541.64

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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.