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Finding the Fourth Proportional to 3,426.73, 4,729 and 2,100.18

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Solution

The fourth proportional to 3,426.73, 4,729 and 2,100.18 is: 2,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.73 : 4,729 = 2,100.18 : x
  2. Step 2: Convert to fraction form
    3,426.73/4,729 = 2,100.18/x
  3. Step 3: Cross multiply
    3,426.73x = 4,729 × 2,100.18
  4. Step 4: Simplify right side
    3,426.73x = 9,931,751.22
  5. Step 5: Solve for x
    x = 9,931,751.22/3,426.73
  6. Step 6: Final answer
    x = 2,898.32

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Why These Related Problems?

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