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Finding the Fourth Proportional to 6,538.33, 9,022.86 and 3,554.17

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Solution

The fourth proportional to 6,538.33, 9,022.86 and 3,554.17 is: 4,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.33 : 9,022.86 = 3,554.17 : x
  2. Step 2: Convert to fraction form
    6,538.33/9,022.86 = 3,554.17/x
  3. Step 3: Cross multiply
    6,538.33x = 9,022.86 × 3,554.17
  4. Step 4: Simplify right side
    6,538.33x = 32,068,778.33
  5. Step 5: Solve for x
    x = 32,068,778.33/6,538.33
  6. Step 6: Final answer
    x = 4,904.74

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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.