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Finding the Fourth Proportional to 3,763.58, 5,181.57 and 3,099.24

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Solution

The fourth proportional to 3,763.58, 5,181.57 and 3,099.24 is: 4,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.58 : 5,181.57 = 3,099.24 : x
  2. Step 2: Convert to fraction form
    3,763.58/5,181.57 = 3,099.24/x
  3. Step 3: Cross multiply
    3,763.58x = 5,181.57 × 3,099.24
  4. Step 4: Simplify right side
    3,763.58x = 16,058,929.01
  5. Step 5: Solve for x
    x = 16,058,929.01/3,763.58
  6. Step 6: Final answer
    x = 4,266.93

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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.