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Finding the Fourth Proportional to 3,411.48, 5,118 and 1,190.40

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Solution

The fourth proportional to 3,411.48, 5,118 and 1,190.40 is: 1,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.48 : 5,118 = 1,190.40 : x
  2. Step 2: Convert to fraction form
    3,411.48/5,118 = 1,190.40/x
  3. Step 3: Cross multiply
    3,411.48x = 5,118 × 1,190.40
  4. Step 4: Simplify right side
    3,411.48x = 6,092,467.20
  5. Step 5: Solve for x
    x = 6,092,467.20/3,411.48
  6. Step 6: Final answer
    x = 1,785.87

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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.