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Finding the Fourth Proportional to 3,410.67, 4,686.32 and 2,710.83

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Solution

The fourth proportional to 3,410.67, 4,686.32 and 2,710.83 is: 3,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.67 : 4,686.32 = 2,710.83 : x
  2. Step 2: Convert to fraction form
    3,410.67/4,686.32 = 2,710.83/x
  3. Step 3: Cross multiply
    3,410.67x = 4,686.32 × 2,710.83
  4. Step 4: Simplify right side
    3,410.67x = 12,703,816.85
  5. Step 5: Solve for x
    x = 12,703,816.85/3,410.67
  6. Step 6: Final answer
    x = 3,724.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.