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Finding the Fourth Proportional to 6,339.36, 8,745.84 and 3,686.28

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Solution

The fourth proportional to 6,339.36, 8,745.84 and 3,686.28 is: 5,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.36 : 8,745.84 = 3,686.28 : x
  2. Step 2: Convert to fraction form
    6,339.36/8,745.84 = 3,686.28/x
  3. Step 3: Cross multiply
    6,339.36x = 8,745.84 × 3,686.28
  4. Step 4: Simplify right side
    6,339.36x = 32,239,615.08
  5. Step 5: Solve for x
    x = 32,239,615.08/6,339.36
  6. Step 6: Final answer
    x = 5,085.63

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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.