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Finding the Fourth Proportional to 3,410.91, 5,115.96 and 1,070.82

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Solution

The fourth proportional to 3,410.91, 5,115.96 and 1,070.82 is: 1,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.91 : 5,115.96 = 1,070.82 : x
  2. Step 2: Convert to fraction form
    3,410.91/5,115.96 = 1,070.82/x
  3. Step 3: Cross multiply
    3,410.91x = 5,115.96 × 1,070.82
  4. Step 4: Simplify right side
    3,410.91x = 5,478,272.29
  5. Step 5: Solve for x
    x = 5,478,272.29/3,410.91
  6. Step 6: Final answer
    x = 1,606.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.