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Finding the Fourth Proportional to 3,538.32, 4,883.12 and 1,966.44

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Solution

The fourth proportional to 3,538.32, 4,883.12 and 1,966.44 is: 2,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.32 : 4,883.12 = 1,966.44 : x
  2. Step 2: Convert to fraction form
    3,538.32/4,883.12 = 1,966.44/x
  3. Step 3: Cross multiply
    3,538.32x = 4,883.12 × 1,966.44
  4. Step 4: Simplify right side
    3,538.32x = 9,602,362.49
  5. Step 5: Solve for x
    x = 9,602,362.49/3,538.32
  6. Step 6: Final answer
    x = 2,713.82

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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.