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Finding the Fourth Proportional to 5,659.43, 7,810.22 and 3,420.86

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Solution

The fourth proportional to 5,659.43, 7,810.22 and 3,420.86 is: 4,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.43 : 7,810.22 = 3,420.86 : x
  2. Step 2: Convert to fraction form
    5,659.43/7,810.22 = 3,420.86/x
  3. Step 3: Cross multiply
    5,659.43x = 7,810.22 × 3,420.86
  4. Step 4: Simplify right side
    5,659.43x = 26,717,638.69
  5. Step 5: Solve for x
    x = 26,717,638.69/5,659.43
  6. Step 6: Final answer
    x = 4,720.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.