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Finding the Fourth Proportional to 4,647.44, 6,956.58 and 2,449.51

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Solution

The fourth proportional to 4,647.44, 6,956.58 and 2,449.51 is: 3,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.44 : 6,956.58 = 2,449.51 : x
  2. Step 2: Convert to fraction form
    4,647.44/6,956.58 = 2,449.51/x
  3. Step 3: Cross multiply
    4,647.44x = 6,956.58 × 2,449.51
  4. Step 4: Simplify right side
    4,647.44x = 17,040,177.49
  5. Step 5: Solve for x
    x = 17,040,177.49/4,647.44
  6. Step 6: Final answer
    x = 3,666.57

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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.