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Finding the Fourth Proportional to 3,669.44, 5,071.11 and 3,005.24

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Solution

The fourth proportional to 3,669.44, 5,071.11 and 3,005.24 is: 4,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.44 : 5,071.11 = 3,005.24 : x
  2. Step 2: Convert to fraction form
    3,669.44/5,071.11 = 3,005.24/x
  3. Step 3: Cross multiply
    3,669.44x = 5,071.11 × 3,005.24
  4. Step 4: Simplify right side
    3,669.44x = 15,239,902.62
  5. Step 5: Solve for x
    x = 15,239,902.62/3,669.44
  6. Step 6: Final answer
    x = 4,153.20

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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.