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Finding the Fourth Proportional to 6,550.71, 9,040.29 and 3,862.01

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Solution

The fourth proportional to 6,550.71, 9,040.29 and 3,862.01 is: 5,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.71 : 9,040.29 = 3,862.01 : x
  2. Step 2: Convert to fraction form
    6,550.71/9,040.29 = 3,862.01/x
  3. Step 3: Cross multiply
    6,550.71x = 9,040.29 × 3,862.01
  4. Step 4: Simplify right side
    6,550.71x = 34,913,690.38
  5. Step 5: Solve for x
    x = 34,913,690.38/6,550.71
  6. Step 6: Final answer
    x = 5,329.76

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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.