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Finding the Fourth Proportional to 4,605.14, 6,906.25 and 1,484.47

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Solution

The fourth proportional to 4,605.14, 6,906.25 and 1,484.47 is: 2,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.14 : 6,906.25 = 1,484.47 : x
  2. Step 2: Convert to fraction form
    4,605.14/6,906.25 = 1,484.47/x
  3. Step 3: Cross multiply
    4,605.14x = 6,906.25 × 1,484.47
  4. Step 4: Simplify right side
    4,605.14x = 10,252,120.94
  5. Step 5: Solve for x
    x = 10,252,120.94/4,605.14
  6. Step 6: Final answer
    x = 2,226.23

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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.