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Finding the Fourth Proportional to 3,704.52, 5,557.56 and 1,396

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Solution

The fourth proportional to 3,704.52, 5,557.56 and 1,396 is: 2,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.52 : 5,557.56 = 1,396 : x
  2. Step 2: Convert to fraction form
    3,704.52/5,557.56 = 1,396/x
  3. Step 3: Cross multiply
    3,704.52x = 5,557.56 × 1,396
  4. Step 4: Simplify right side
    3,704.52x = 7,758,353.76
  5. Step 5: Solve for x
    x = 7,758,353.76/3,704.52
  6. Step 6: Final answer
    x = 2,094.29

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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.