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Finding the Fourth Proportional to 5,830.86, 8,749.92 and 2,544

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Solution

The fourth proportional to 5,830.86, 8,749.92 and 2,544 is: 3,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.86 : 8,749.92 = 2,544 : x
  2. Step 2: Convert to fraction form
    5,830.86/8,749.92 = 2,544/x
  3. Step 3: Cross multiply
    5,830.86x = 8,749.92 × 2,544
  4. Step 4: Simplify right side
    5,830.86x = 22,259,796.48
  5. Step 5: Solve for x
    x = 22,259,796.48/5,830.86
  6. Step 6: Final answer
    x = 3,817.58

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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.