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Finding the Fourth Proportional to 3,400.49, 4,688.17 and 2,219.51

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Solution

The fourth proportional to 3,400.49, 4,688.17 and 2,219.51 is: 3,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.49 : 4,688.17 = 2,219.51 : x
  2. Step 2: Convert to fraction form
    3,400.49/4,688.17 = 2,219.51/x
  3. Step 3: Cross multiply
    3,400.49x = 4,688.17 × 2,219.51
  4. Step 4: Simplify right side
    3,400.49x = 10,405,429.10
  5. Step 5: Solve for x
    x = 10,405,429.10/3,400.49
  6. Step 6: Final answer
    x = 3,059.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.