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Finding the Fourth Proportional to 3,504.78, 5,253.51 and 1,423.95

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Solution

The fourth proportional to 3,504.78, 5,253.51 and 1,423.95 is: 2,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.78 : 5,253.51 = 1,423.95 : x
  2. Step 2: Convert to fraction form
    3,504.78/5,253.51 = 1,423.95/x
  3. Step 3: Cross multiply
    3,504.78x = 5,253.51 × 1,423.95
  4. Step 4: Simplify right side
    3,504.78x = 7,480,735.56
  5. Step 5: Solve for x
    x = 7,480,735.56/3,504.78
  6. Step 6: Final answer
    x = 2,134.44

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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.