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Finding the Fourth Proportional to 3,006.98, 4,507.38 and 1,157.62

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Solution

The fourth proportional to 3,006.98, 4,507.38 and 1,157.62 is: 1,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.98 : 4,507.38 = 1,157.62 : x
  2. Step 2: Convert to fraction form
    3,006.98/4,507.38 = 1,157.62/x
  3. Step 3: Cross multiply
    3,006.98x = 4,507.38 × 1,157.62
  4. Step 4: Simplify right side
    3,006.98x = 5,217,833.24
  5. Step 5: Solve for x
    x = 5,217,833.24/3,006.98
  6. Step 6: Final answer
    x = 1,735.24

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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.