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Finding the Fourth Proportional to 4,661.49, 6,992.31 and 1,151.49

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Solution

The fourth proportional to 4,661.49, 6,992.31 and 1,151.49 is: 1,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.49 : 6,992.31 = 1,151.49 : x
  2. Step 2: Convert to fraction form
    4,661.49/6,992.31 = 1,151.49/x
  3. Step 3: Cross multiply
    4,661.49x = 6,992.31 × 1,151.49
  4. Step 4: Simplify right side
    4,661.49x = 8,051,575.04
  5. Step 5: Solve for x
    x = 8,051,575.04/4,661.49
  6. Step 6: Final answer
    x = 1,727.25

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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.