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Finding the Fourth Proportional to 3,538.62, 4,884.14 and 2,047.46

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Solution

The fourth proportional to 3,538.62, 4,884.14 and 2,047.46 is: 2,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.62 : 4,884.14 = 2,047.46 : x
  2. Step 2: Convert to fraction form
    3,538.62/4,884.14 = 2,047.46/x
  3. Step 3: Cross multiply
    3,538.62x = 4,884.14 × 2,047.46
  4. Step 4: Simplify right side
    3,538.62x = 10,000,061.98
  5. Step 5: Solve for x
    x = 10,000,061.98/3,538.62
  6. Step 6: Final answer
    x = 2,825.98

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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.