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Finding the Fourth Proportional to 5,393.71, 8,090.38 and 1,695.86

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Solution

The fourth proportional to 5,393.71, 8,090.38 and 1,695.86 is: 2,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.71 : 8,090.38 = 1,695.86 : x
  2. Step 2: Convert to fraction form
    5,393.71/8,090.38 = 1,695.86/x
  3. Step 3: Cross multiply
    5,393.71x = 8,090.38 × 1,695.86
  4. Step 4: Simplify right side
    5,393.71x = 13,720,143.83
  5. Step 5: Solve for x
    x = 13,720,143.83/5,393.71
  6. Step 6: Final answer
    x = 2,543.73

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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.