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Finding the Fourth Proportional to 6,538.37, 9,022.95 and 3,554.19

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Solution

The fourth proportional to 6,538.37, 9,022.95 and 3,554.19 is: 4,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.37 : 9,022.95 = 3,554.19 : x
  2. Step 2: Convert to fraction form
    6,538.37/9,022.95 = 3,554.19/x
  3. Step 3: Cross multiply
    6,538.37x = 9,022.95 × 3,554.19
  4. Step 4: Simplify right side
    6,538.37x = 32,069,278.66
  5. Step 5: Solve for x
    x = 32,069,278.66/6,538.37
  6. Step 6: Final answer
    x = 4,904.79

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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.