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Finding the Fourth Proportional to 3,548.34, 5,311.56 and 2,313.09

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Solution

The fourth proportional to 3,548.34, 5,311.56 and 2,313.09 is: 3,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.34 : 5,311.56 = 2,313.09 : x
  2. Step 2: Convert to fraction form
    3,548.34/5,311.56 = 2,313.09/x
  3. Step 3: Cross multiply
    3,548.34x = 5,311.56 × 2,313.09
  4. Step 4: Simplify right side
    3,548.34x = 12,286,116.32
  5. Step 5: Solve for x
    x = 12,286,116.32/3,548.34
  6. Step 6: Final answer
    x = 3,462.50

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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.