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Finding the Fourth Proportional to 6,032.97, 8,327.55 and 3,644.28

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Solution

The fourth proportional to 6,032.97, 8,327.55 and 3,644.28 is: 5,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.97 : 8,327.55 = 3,644.28 : x
  2. Step 2: Convert to fraction form
    6,032.97/8,327.55 = 3,644.28/x
  3. Step 3: Cross multiply
    6,032.97x = 8,327.55 × 3,644.28
  4. Step 4: Simplify right side
    6,032.97x = 30,347,923.91
  5. Step 5: Solve for x
    x = 30,347,923.91/6,032.97
  6. Step 6: Final answer
    x = 5,030.35

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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.