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Finding the Fourth Proportional to 3,415.16, 5,113.02 and 2,243.90

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Solution

The fourth proportional to 3,415.16, 5,113.02 and 2,243.90 is: 3,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.16 : 5,113.02 = 2,243.90 : x
  2. Step 2: Convert to fraction form
    3,415.16/5,113.02 = 2,243.90/x
  3. Step 3: Cross multiply
    3,415.16x = 5,113.02 × 2,243.90
  4. Step 4: Simplify right side
    3,415.16x = 11,473,105.58
  5. Step 5: Solve for x
    x = 11,473,105.58/3,415.16
  6. Step 6: Final answer
    x = 3,359.46

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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.