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Finding the Fourth Proportional to 3,138.98, 4,302.99 and 3,109.94

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Solution

The fourth proportional to 3,138.98, 4,302.99 and 3,109.94 is: 4,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.98 : 4,302.99 = 3,109.94 : x
  2. Step 2: Convert to fraction form
    3,138.98/4,302.99 = 3,109.94/x
  3. Step 3: Cross multiply
    3,138.98x = 4,302.99 × 3,109.94
  4. Step 4: Simplify right side
    3,138.98x = 13,382,025.17
  5. Step 5: Solve for x
    x = 13,382,025.17/3,138.98
  6. Step 6: Final answer
    x = 4,263.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.