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Finding the Fourth Proportional to 3,563.40, 5,345.10 and 966.34

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Solution

The fourth proportional to 3,563.40, 5,345.10 and 966.34 is: 1,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.40 : 5,345.10 = 966.34 : x
  2. Step 2: Convert to fraction form
    3,563.40/5,345.10 = 966.34/x
  3. Step 3: Cross multiply
    3,563.40x = 5,345.10 × 966.34
  4. Step 4: Simplify right side
    3,563.40x = 5,165,160.55
  5. Step 5: Solve for x
    x = 5,165,160.55/3,563.40
  6. Step 6: Final answer
    x = 1,449.50

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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.