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Finding the Fourth Proportional to 3,505.44, 5,256.08 and 1,426.44

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Solution

The fourth proportional to 3,505.44, 5,256.08 and 1,426.44 is: 2,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.44 : 5,256.08 = 1,426.44 : x
  2. Step 2: Convert to fraction form
    3,505.44/5,256.08 = 1,426.44/x
  3. Step 3: Cross multiply
    3,505.44x = 5,256.08 × 1,426.44
  4. Step 4: Simplify right side
    3,505.44x = 7,497,482.76
  5. Step 5: Solve for x
    x = 7,497,482.76/3,505.44
  6. Step 6: Final answer
    x = 2,138.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.