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Finding the Fourth Proportional to 3,538.48, 4,883.28 and 1,966.54

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Solution

The fourth proportional to 3,538.48, 4,883.28 and 1,966.54 is: 2,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.48 : 4,883.28 = 1,966.54 : x
  2. Step 2: Convert to fraction form
    3,538.48/4,883.28 = 1,966.54/x
  3. Step 3: Cross multiply
    3,538.48x = 4,883.28 × 1,966.54
  4. Step 4: Simplify right side
    3,538.48x = 9,603,165.45
  5. Step 5: Solve for x
    x = 9,603,165.45/3,538.48
  6. Step 6: Final answer
    x = 2,713.92

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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.