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Finding the Fourth Proportional to 4,694.40, 7,049.70 and 2,507.40

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Solution

The fourth proportional to 4,694.40, 7,049.70 and 2,507.40 is: 3,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.40 : 7,049.70 = 2,507.40 : x
  2. Step 2: Convert to fraction form
    4,694.40/7,049.70 = 2,507.40/x
  3. Step 3: Cross multiply
    4,694.40x = 7,049.70 × 2,507.40
  4. Step 4: Simplify right side
    4,694.40x = 17,676,417.78
  5. Step 5: Solve for x
    x = 17,676,417.78/4,694.40
  6. Step 6: Final answer
    x = 3,765.43

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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.