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Finding the Fourth Proportional to 3,170.68, 4,744.14 and 3,004

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Solution

The fourth proportional to 3,170.68, 4,744.14 and 3,004 is: 4,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.68 : 4,744.14 = 3,004 : x
  2. Step 2: Convert to fraction form
    3,170.68/4,744.14 = 3,004/x
  3. Step 3: Cross multiply
    3,170.68x = 4,744.14 × 3,004
  4. Step 4: Simplify right side
    3,170.68x = 14,251,396.56
  5. Step 5: Solve for x
    x = 14,251,396.56/3,170.68
  6. Step 6: Final answer
    x = 4,494.74

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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.