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Finding the Fourth Proportional to 5,365.62, 7,406.10 and 3,772.68

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Solution

The fourth proportional to 5,365.62, 7,406.10 and 3,772.68 is: 5,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.62 : 7,406.10 = 3,772.68 : x
  2. Step 2: Convert to fraction form
    5,365.62/7,406.10 = 3,772.68/x
  3. Step 3: Cross multiply
    5,365.62x = 7,406.10 × 3,772.68
  4. Step 4: Simplify right side
    5,365.62x = 27,940,845.35
  5. Step 5: Solve for x
    x = 27,940,845.35/5,365.62
  6. Step 6: Final answer
    x = 5,207.38

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1.5x scale

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.