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Finding the Fourth Proportional to 6,017.85, 8,278.86 and 5,745.69

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Solution

The fourth proportional to 6,017.85, 8,278.86 and 5,745.69 is: 7,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017.85 : 8,278.86 = 5,745.69 : x
  2. Step 2: Convert to fraction form
    6,017.85/8,278.86 = 5,745.69/x
  3. Step 3: Cross multiply
    6,017.85x = 8,278.86 × 5,745.69
  4. Step 4: Simplify right side
    6,017.85x = 47,567,763.11
  5. Step 5: Solve for x
    x = 47,567,763.11/6,017.85
  6. Step 6: Final answer
    x = 7,904.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.