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Finding the Fourth Proportional to 3,910.56, 5,870.52 and 3,292.80

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Solution

The fourth proportional to 3,910.56, 5,870.52 and 3,292.80 is: 4,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.56 : 5,870.52 = 3,292.80 : x
  2. Step 2: Convert to fraction form
    3,910.56/5,870.52 = 3,292.80/x
  3. Step 3: Cross multiply
    3,910.56x = 5,870.52 × 3,292.80
  4. Step 4: Simplify right side
    3,910.56x = 19,330,448.26
  5. Step 5: Solve for x
    x = 19,330,448.26/3,910.56
  6. Step 6: Final answer
    x = 4,943.14

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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.