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Finding the Fourth Proportional to 4,200.75, 6,301.70 and 1,860.57

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Solution

The fourth proportional to 4,200.75, 6,301.70 and 1,860.57 is: 2,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.75 : 6,301.70 = 1,860.57 : x
  2. Step 2: Convert to fraction form
    4,200.75/6,301.70 = 1,860.57/x
  3. Step 3: Cross multiply
    4,200.75x = 6,301.70 × 1,860.57
  4. Step 4: Simplify right side
    4,200.75x = 11,724,753.97
  5. Step 5: Solve for x
    x = 11,724,753.97/4,200.75
  6. Step 6: Final answer
    x = 2,791.11

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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.