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Finding the Fourth Proportional to 3,196.08, 4,795.20 and 1,005.12

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Solution

The fourth proportional to 3,196.08, 4,795.20 and 1,005.12 is: 1,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.08 : 4,795.20 = 1,005.12 : x
  2. Step 2: Convert to fraction form
    3,196.08/4,795.20 = 1,005.12/x
  3. Step 3: Cross multiply
    3,196.08x = 4,795.20 × 1,005.12
  4. Step 4: Simplify right side
    3,196.08x = 4,819,751.42
  5. Step 5: Solve for x
    x = 4,819,751.42/3,196.08
  6. Step 6: Final answer
    x = 1,508.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.