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Finding the Fourth Proportional to 3,369.02, 5,053.35 and 903.80

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Solution

The fourth proportional to 3,369.02, 5,053.35 and 903.80 is: 1,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.02 : 5,053.35 = 903.80 : x
  2. Step 2: Convert to fraction form
    3,369.02/5,053.35 = 903.80/x
  3. Step 3: Cross multiply
    3,369.02x = 5,053.35 × 903.80
  4. Step 4: Simplify right side
    3,369.02x = 4,567,217.73
  5. Step 5: Solve for x
    x = 4,567,217.73/3,369.02
  6. Step 6: Final answer
    x = 1,355.65

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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.