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Finding the Fourth Proportional to 4,005.62, 6,007.70 and 1,083.24

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Solution

The fourth proportional to 4,005.62, 6,007.70 and 1,083.24 is: 1,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.62 : 6,007.70 = 1,083.24 : x
  2. Step 2: Convert to fraction form
    4,005.62/6,007.70 = 1,083.24/x
  3. Step 3: Cross multiply
    4,005.62x = 6,007.70 × 1,083.24
  4. Step 4: Simplify right side
    4,005.62x = 6,507,780.95
  5. Step 5: Solve for x
    x = 6,507,780.95/4,005.62
  6. Step 6: Final answer
    x = 1,624.66

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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.