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Finding the Fourth Proportional to 3,449.86, 5,175.43 and 2,460.21

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Solution

The fourth proportional to 3,449.86, 5,175.43 and 2,460.21 is: 3,690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.86 : 5,175.43 = 2,460.21 : x
  2. Step 2: Convert to fraction form
    3,449.86/5,175.43 = 2,460.21/x
  3. Step 3: Cross multiply
    3,449.86x = 5,175.43 × 2,460.21
  4. Step 4: Simplify right side
    3,449.86x = 12,732,619.08
  5. Step 5: Solve for x
    x = 12,732,619.08/3,449.86
  6. Step 6: Final answer
    x = 3,690.77

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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.