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Finding the Fourth Proportional to 3,563.17, 5,339.28 and 3,016.42

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Solution

The fourth proportional to 3,563.17, 5,339.28 and 3,016.42 is: 4,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.17 : 5,339.28 = 3,016.42 : x
  2. Step 2: Convert to fraction form
    3,563.17/5,339.28 = 3,016.42/x
  3. Step 3: Cross multiply
    3,563.17x = 5,339.28 × 3,016.42
  4. Step 4: Simplify right side
    3,563.17x = 16,105,510.98
  5. Step 5: Solve for x
    x = 16,105,510.98/3,563.17
  6. Step 6: Final answer
    x = 4,520.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.