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Finding the Fourth Proportional to 3,711.03, 5,121 and 2,032.10

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Solution

The fourth proportional to 3,711.03, 5,121 and 2,032.10 is: 2,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.03 : 5,121 = 2,032.10 : x
  2. Step 2: Convert to fraction form
    3,711.03/5,121 = 2,032.10/x
  3. Step 3: Cross multiply
    3,711.03x = 5,121 × 2,032.10
  4. Step 4: Simplify right side
    3,711.03x = 10,406,377.70
  5. Step 5: Solve for x
    x = 10,406,377.70/3,711.03
  6. Step 6: Final answer
    x = 2,804.18

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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.