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Finding the Fourth Proportional to 3,710.90, 5,567.43 and 1,760.42

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Solution

The fourth proportional to 3,710.90, 5,567.43 and 1,760.42 is: 2,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.90 : 5,567.43 = 1,760.42 : x
  2. Step 2: Convert to fraction form
    3,710.90/5,567.43 = 1,760.42/x
  3. Step 3: Cross multiply
    3,710.90x = 5,567.43 × 1,760.42
  4. Step 4: Simplify right side
    3,710.90x = 9,801,015.12
  5. Step 5: Solve for x
    x = 9,801,015.12/3,710.90
  6. Step 6: Final answer
    x = 2,641.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.