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Finding the Fourth Proportional to 3,316.72, 4,969.32 and 2,019.28

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Solution

The fourth proportional to 3,316.72, 4,969.32 and 2,019.28 is: 3,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.72 : 4,969.32 = 2,019.28 : x
  2. Step 2: Convert to fraction form
    3,316.72/4,969.32 = 2,019.28/x
  3. Step 3: Cross multiply
    3,316.72x = 4,969.32 × 2,019.28
  4. Step 4: Simplify right side
    3,316.72x = 10,034,448.49
  5. Step 5: Solve for x
    x = 10,034,448.49/3,316.72
  6. Step 6: Final answer
    x = 3,025.41

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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.