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Finding the Fourth Proportional to 5,360.96, 8,040.66 and 1,465.68

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Solution

The fourth proportional to 5,360.96, 8,040.66 and 1,465.68 is: 2,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360.96 : 8,040.66 = 1,465.68 : x
  2. Step 2: Convert to fraction form
    5,360.96/8,040.66 = 1,465.68/x
  3. Step 3: Cross multiply
    5,360.96x = 8,040.66 × 1,465.68
  4. Step 4: Simplify right side
    5,360.96x = 11,785,034.55
  5. Step 5: Solve for x
    x = 11,785,034.55/5,360.96
  6. Step 6: Final answer
    x = 2,198.31

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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.