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Finding the Fourth Proportional to 3,563.79, 5,345.88 and 1,616.14

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Solution

The fourth proportional to 3,563.79, 5,345.88 and 1,616.14 is: 2,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.79 : 5,345.88 = 1,616.14 : x
  2. Step 2: Convert to fraction form
    3,563.79/5,345.88 = 1,616.14/x
  3. Step 3: Cross multiply
    3,563.79x = 5,345.88 × 1,616.14
  4. Step 4: Simplify right side
    3,563.79x = 8,639,690.50
  5. Step 5: Solve for x
    x = 8,639,690.50/3,563.79
  6. Step 6: Final answer
    x = 2,424.30

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Why These Related Problems?

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