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Finding the Fourth Proportional to 3,535.78, 5,303.77 and 938.72

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Solution

The fourth proportional to 3,535.78, 5,303.77 and 938.72 is: 1,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.78 : 5,303.77 = 938.72 : x
  2. Step 2: Convert to fraction form
    3,535.78/5,303.77 = 938.72/x
  3. Step 3: Cross multiply
    3,535.78x = 5,303.77 × 938.72
  4. Step 4: Simplify right side
    3,535.78x = 4,978,754.97
  5. Step 5: Solve for x
    x = 4,978,754.97/3,535.78
  6. Step 6: Final answer
    x = 1,408.11

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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.