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Finding the Fourth Proportional to 6,007.74, 8,985.33 and 3,661.26

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Solution

The fourth proportional to 6,007.74, 8,985.33 and 3,661.26 is: 5,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.74 : 8,985.33 = 3,661.26 : x
  2. Step 2: Convert to fraction form
    6,007.74/8,985.33 = 3,661.26/x
  3. Step 3: Cross multiply
    6,007.74x = 8,985.33 × 3,661.26
  4. Step 4: Simplify right side
    6,007.74x = 32,897,629.32
  5. Step 5: Solve for x
    x = 32,897,629.32/6,007.74
  6. Step 6: Final answer
    x = 5,475.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.