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Finding the Fourth Proportional to 3,006.62, 4,509.96 and 2,361.45

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Solution

The fourth proportional to 3,006.62, 4,509.96 and 2,361.45 is: 3,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.62 : 4,509.96 = 2,361.45 : x
  2. Step 2: Convert to fraction form
    3,006.62/4,509.96 = 2,361.45/x
  3. Step 3: Cross multiply
    3,006.62x = 4,509.96 × 2,361.45
  4. Step 4: Simplify right side
    3,006.62x = 10,650,045.04
  5. Step 5: Solve for x
    x = 10,650,045.04/3,006.62
  6. Step 6: Final answer
    x = 3,542.20

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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.