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Finding the Fourth Proportional to 3,385.10, 5,072.78 and 1,921.16

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Solution

The fourth proportional to 3,385.10, 5,072.78 and 1,921.16 is: 2,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.10 : 5,072.78 = 1,921.16 : x
  2. Step 2: Convert to fraction form
    3,385.10/5,072.78 = 1,921.16/x
  3. Step 3: Cross multiply
    3,385.10x = 5,072.78 × 1,921.16
  4. Step 4: Simplify right side
    3,385.10x = 9,745,639.51
  5. Step 5: Solve for x
    x = 9,745,639.51/3,385.10
  6. Step 6: Final answer
    x = 2,878.98

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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.