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Finding the Fourth Proportional to 3,403.63, 5,105.44 and 1,095.13

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Solution

The fourth proportional to 3,403.63, 5,105.44 and 1,095.13 is: 1,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.63 : 5,105.44 = 1,095.13 : x
  2. Step 2: Convert to fraction form
    3,403.63/5,105.44 = 1,095.13/x
  3. Step 3: Cross multiply
    3,403.63x = 5,105.44 × 1,095.13
  4. Step 4: Simplify right side
    3,403.63x = 5,591,094.98
  5. Step 5: Solve for x
    x = 5,591,094.98/3,403.63
  6. Step 6: Final answer
    x = 1,642.69

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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.