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Finding the Fourth Proportional to 3,412.02, 5,118.99 and 1,103.70

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Solution

The fourth proportional to 3,412.02, 5,118.99 and 1,103.70 is: 1,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.02 : 5,118.99 = 1,103.70 : x
  2. Step 2: Convert to fraction form
    3,412.02/5,118.99 = 1,103.70/x
  3. Step 3: Cross multiply
    3,412.02x = 5,118.99 × 1,103.70
  4. Step 4: Simplify right side
    3,412.02x = 5,649,829.26
  5. Step 5: Solve for x
    x = 5,649,829.26/3,412.02
  6. Step 6: Final answer
    x = 1,655.86

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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.