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Finding the Fourth Proportional to 4,006.53, 6,007.96 and 1,232.24

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Solution

The fourth proportional to 4,006.53, 6,007.96 and 1,232.24 is: 1,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.53 : 6,007.96 = 1,232.24 : x
  2. Step 2: Convert to fraction form
    4,006.53/6,007.96 = 1,232.24/x
  3. Step 3: Cross multiply
    4,006.53x = 6,007.96 × 1,232.24
  4. Step 4: Simplify right side
    4,006.53x = 7,403,248.63
  5. Step 5: Solve for x
    x = 7,403,248.63/4,006.53
  6. Step 6: Final answer
    x = 1,847.80

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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.