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Finding the Fourth Proportional to 3,403.17, 4,698.54 and 2,226.24

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Solution

The fourth proportional to 3,403.17, 4,698.54 and 2,226.24 is: 3,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.17 : 4,698.54 = 2,226.24 : x
  2. Step 2: Convert to fraction form
    3,403.17/4,698.54 = 2,226.24/x
  3. Step 3: Cross multiply
    3,403.17x = 4,698.54 × 2,226.24
  4. Step 4: Simplify right side
    3,403.17x = 10,460,077.69
  5. Step 5: Solve for x
    x = 10,460,077.69/3,403.17
  6. Step 6: Final answer
    x = 3,073.63

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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.