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Finding the Fourth Proportional to 3,410.86, 4,703.91 and 2,229.88

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Solution

The fourth proportional to 3,410.86, 4,703.91 and 2,229.88 is: 3,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.86 : 4,703.91 = 2,229.88 : x
  2. Step 2: Convert to fraction form
    3,410.86/4,703.91 = 2,229.88/x
  3. Step 3: Cross multiply
    3,410.86x = 4,703.91 × 2,229.88
  4. Step 4: Simplify right side
    3,410.86x = 10,489,154.83
  5. Step 5: Solve for x
    x = 10,489,154.83/3,410.86
  6. Step 6: Final answer
    x = 3,075.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.