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Finding the Fourth Proportional to 5,005.22, 6,909.84 and 3,883.64

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Solution

The fourth proportional to 5,005.22, 6,909.84 and 3,883.64 is: 5,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.22 : 6,909.84 = 3,883.64 : x
  2. Step 2: Convert to fraction form
    5,005.22/6,909.84 = 3,883.64/x
  3. Step 3: Cross multiply
    5,005.22x = 6,909.84 × 3,883.64
  4. Step 4: Simplify right side
    5,005.22x = 26,835,296.47
  5. Step 5: Solve for x
    x = 26,835,296.47/5,005.22
  6. Step 6: Final answer
    x = 5,361.47

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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.