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Finding the Fourth Proportional to 3,244.14, 4,866.21 and 904.15

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Solution

The fourth proportional to 3,244.14, 4,866.21 and 904.15 is: 1,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.14 : 4,866.21 = 904.15 : x
  2. Step 2: Convert to fraction form
    3,244.14/4,866.21 = 904.15/x
  3. Step 3: Cross multiply
    3,244.14x = 4,866.21 × 904.15
  4. Step 4: Simplify right side
    3,244.14x = 4,399,754.92
  5. Step 5: Solve for x
    x = 4,399,754.92/3,244.14
  6. Step 6: Final answer
    x = 1,356.22

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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.