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Finding the Fourth Proportional to 3,907.18, 5,859.90 and 1,133.23

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Solution

The fourth proportional to 3,907.18, 5,859.90 and 1,133.23 is: 1,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.18 : 5,859.90 = 1,133.23 : x
  2. Step 2: Convert to fraction form
    3,907.18/5,859.90 = 1,133.23/x
  3. Step 3: Cross multiply
    3,907.18x = 5,859.90 × 1,133.23
  4. Step 4: Simplify right side
    3,907.18x = 6,640,614.48
  5. Step 5: Solve for x
    x = 6,640,614.48/3,907.18
  6. Step 6: Final answer
    x = 1,699.59

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