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Finding the Fourth Proportional to 3,502.94, 4,834.69 and 2,244.53

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Solution

The fourth proportional to 3,502.94, 4,834.69 and 2,244.53 is: 3,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.94 : 4,834.69 = 2,244.53 : x
  2. Step 2: Convert to fraction form
    3,502.94/4,834.69 = 2,244.53/x
  3. Step 3: Cross multiply
    3,502.94x = 4,834.69 × 2,244.53
  4. Step 4: Simplify right side
    3,502.94x = 10,851,621.64
  5. Step 5: Solve for x
    x = 10,851,621.64/3,502.94
  6. Step 6: Final answer
    x = 3,097.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.