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Finding the Fourth Proportional to 5,355.38, 7,390.22 and 3,785.60

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Solution

The fourth proportional to 5,355.38, 7,390.22 and 3,785.60 is: 5,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.38 : 7,390.22 = 3,785.60 : x
  2. Step 2: Convert to fraction form
    5,355.38/7,390.22 = 3,785.60/x
  3. Step 3: Cross multiply
    5,355.38x = 7,390.22 × 3,785.60
  4. Step 4: Simplify right side
    5,355.38x = 27,976,416.83
  5. Step 5: Solve for x
    x = 27,976,416.83/5,355.38
  6. Step 6: Final answer
    x = 5,223.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.