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Finding the Fourth Proportional to 5,183.96, 7,775.80 and 1,288.32

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Solution

The fourth proportional to 5,183.96, 7,775.80 and 1,288.32 is: 1,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.96 : 7,775.80 = 1,288.32 : x
  2. Step 2: Convert to fraction form
    5,183.96/7,775.80 = 1,288.32/x
  3. Step 3: Cross multiply
    5,183.96x = 7,775.80 × 1,288.32
  4. Step 4: Simplify right side
    5,183.96x = 10,017,718.66
  5. Step 5: Solve for x
    x = 10,017,718.66/5,183.96
  6. Step 6: Final answer
    x = 1,932.45

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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.