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Finding the Fourth Proportional to 3,710.73, 5,120.80 and 2,032.14

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Solution

The fourth proportional to 3,710.73, 5,120.80 and 2,032.14 is: 2,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.73 : 5,120.80 = 2,032.14 : x
  2. Step 2: Convert to fraction form
    3,710.73/5,120.80 = 2,032.14/x
  3. Step 3: Cross multiply
    3,710.73x = 5,120.80 × 2,032.14
  4. Step 4: Simplify right side
    3,710.73x = 10,406,174.97
  5. Step 5: Solve for x
    x = 10,406,174.97/3,710.73
  6. Step 6: Final answer
    x = 2,804.35

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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.