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Finding the Fourth Proportional to 5,844.42, 8,766.45 and 1,948.86

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Solution

The fourth proportional to 5,844.42, 8,766.45 and 1,948.86 is: 2,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.42 : 8,766.45 = 1,948.86 : x
  2. Step 2: Convert to fraction form
    5,844.42/8,766.45 = 1,948.86/x
  3. Step 3: Cross multiply
    5,844.42x = 8,766.45 × 1,948.86
  4. Step 4: Simplify right side
    5,844.42x = 17,084,583.75
  5. Step 5: Solve for x
    x = 17,084,583.75/5,844.42
  6. Step 6: Final answer
    x = 2,923.23

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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.