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Finding the Fourth Proportional to 3,203.96, 4,774.54 and 3,099.56

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Solution

The fourth proportional to 3,203.96, 4,774.54 and 3,099.56 is: 4,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.96 : 4,774.54 = 3,099.56 : x
  2. Step 2: Convert to fraction form
    3,203.96/4,774.54 = 3,099.56/x
  3. Step 3: Cross multiply
    3,203.96x = 4,774.54 × 3,099.56
  4. Step 4: Simplify right side
    3,203.96x = 14,798,973.20
  5. Step 5: Solve for x
    x = 14,798,973.20/3,203.96
  6. Step 6: Final answer
    x = 4,618.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.