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Finding the Fourth Proportional to 3,224.93, 4,838.15 and 1,003.64

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Solution

The fourth proportional to 3,224.93, 4,838.15 and 1,003.64 is: 1,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.93 : 4,838.15 = 1,003.64 : x
  2. Step 2: Convert to fraction form
    3,224.93/4,838.15 = 1,003.64/x
  3. Step 3: Cross multiply
    3,224.93x = 4,838.15 × 1,003.64
  4. Step 4: Simplify right side
    3,224.93x = 4,855,767.94
  5. Step 5: Solve for x
    x = 4,855,767.94/3,224.93
  6. Step 6: Final answer
    x = 1,505.70

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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.