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Finding the Fourth Proportional to 6,538.32, 9,022.89 and 3,554.18

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Solution

The fourth proportional to 6,538.32, 9,022.89 and 3,554.18 is: 4,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.32 : 9,022.89 = 3,554.18 : x
  2. Step 2: Convert to fraction form
    6,538.32/9,022.89 = 3,554.18/x
  3. Step 3: Cross multiply
    6,538.32x = 9,022.89 × 3,554.18
  4. Step 4: Simplify right side
    6,538.32x = 32,068,977.23
  5. Step 5: Solve for x
    x = 32,068,977.23/6,538.32
  6. Step 6: Final answer
    x = 4,904.77

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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.