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Finding the Fourth Proportional to 5,360.74, 8,041 and 1,465.14

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Solution

The fourth proportional to 5,360.74, 8,041 and 1,465.14 is: 2,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360.74 : 8,041 = 1,465.14 : x
  2. Step 2: Convert to fraction form
    5,360.74/8,041 = 1,465.14/x
  3. Step 3: Cross multiply
    5,360.74x = 8,041 × 1,465.14
  4. Step 4: Simplify right side
    5,360.74x = 11,781,190.74
  5. Step 5: Solve for x
    x = 11,781,190.74/5,360.74
  6. Step 6: Final answer
    x = 2,197.68

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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.