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Finding the Fourth Proportional to 6,272.67, 8,656.15 and 3,584.01

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Solution

The fourth proportional to 6,272.67, 8,656.15 and 3,584.01 is: 4,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.67 : 8,656.15 = 3,584.01 : x
  2. Step 2: Convert to fraction form
    6,272.67/8,656.15 = 3,584.01/x
  3. Step 3: Cross multiply
    6,272.67x = 8,656.15 × 3,584.01
  4. Step 4: Simplify right side
    6,272.67x = 31,023,710.24
  5. Step 5: Solve for x
    x = 31,023,710.24/6,272.67
  6. Step 6: Final answer
    x = 4,945.85

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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.