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Finding the Fourth Proportional to 5,182.96, 7,768.24 and 2,987.12

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Solution

The fourth proportional to 5,182.96, 7,768.24 and 2,987.12 is: 4,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.96 : 7,768.24 = 2,987.12 : x
  2. Step 2: Convert to fraction form
    5,182.96/7,768.24 = 2,987.12/x
  3. Step 3: Cross multiply
    5,182.96x = 7,768.24 × 2,987.12
  4. Step 4: Simplify right side
    5,182.96x = 23,204,665.07
  5. Step 5: Solve for x
    x = 23,204,665.07/5,182.96
  6. Step 6: Final answer
    x = 4,477.11

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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.