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Finding the Fourth Proportional to 3,445.80, 5,168.99 and 1,106.13

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Solution

The fourth proportional to 3,445.80, 5,168.99 and 1,106.13 is: 1,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.80 : 5,168.99 = 1,106.13 : x
  2. Step 2: Convert to fraction form
    3,445.80/5,168.99 = 1,106.13/x
  3. Step 3: Cross multiply
    3,445.80x = 5,168.99 × 1,106.13
  4. Step 4: Simplify right side
    3,445.80x = 5,717,574.91
  5. Step 5: Solve for x
    x = 5,717,574.91/3,445.80
  6. Step 6: Final answer
    x = 1,659.29

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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.