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Finding the Fourth Proportional to 6,908.40, 10,362.60 and 2,291.40

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Solution

The fourth proportional to 6,908.40, 10,362.60 and 2,291.40 is: 3,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.40 : 10,362.60 = 2,291.40 : x
  2. Step 2: Convert to fraction form
    6,908.40/10,362.60 = 2,291.40/x
  3. Step 3: Cross multiply
    6,908.40x = 10,362.60 × 2,291.40
  4. Step 4: Simplify right side
    6,908.40x = 23,744,861.64
  5. Step 5: Solve for x
    x = 23,744,861.64/6,908.40
  6. Step 6: Final answer
    x = 3,437.10

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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.