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Finding the Fourth Proportional to 3,344.41, 5,015.99 and 972.77

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Solution

The fourth proportional to 3,344.41, 5,015.99 and 972.77 is: 1,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.41 : 5,015.99 = 972.77 : x
  2. Step 2: Convert to fraction form
    3,344.41/5,015.99 = 972.77/x
  3. Step 3: Cross multiply
    3,344.41x = 5,015.99 × 972.77
  4. Step 4: Simplify right side
    3,344.41x = 4,879,404.59
  5. Step 5: Solve for x
    x = 4,879,404.59/3,344.41
  6. Step 6: Final answer
    x = 1,458.97

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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.