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Finding the Fourth Proportional to 3,346.96, 5,019.12 and 1,155.04

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Solution

The fourth proportional to 3,346.96, 5,019.12 and 1,155.04 is: 1,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.96 : 5,019.12 = 1,155.04 : x
  2. Step 2: Convert to fraction form
    3,346.96/5,019.12 = 1,155.04/x
  3. Step 3: Cross multiply
    3,346.96x = 5,019.12 × 1,155.04
  4. Step 4: Simplify right side
    3,346.96x = 5,797,284.36
  5. Step 5: Solve for x
    x = 5,797,284.36/3,346.96
  6. Step 6: Final answer
    x = 1,732.10

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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.