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Finding the Fourth Proportional to 6,089.20, 8,407.74 and 5,351.92

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Solution

The fourth proportional to 6,089.20, 8,407.74 and 5,351.92 is: 7,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.20 : 8,407.74 = 5,351.92 : x
  2. Step 2: Convert to fraction form
    6,089.20/8,407.74 = 5,351.92/x
  3. Step 3: Cross multiply
    6,089.20x = 8,407.74 × 5,351.92
  4. Step 4: Simplify right side
    6,089.20x = 44,997,551.86
  5. Step 5: Solve for x
    x = 44,997,551.86/6,089.20
  6. Step 6: Final answer
    x = 7,389.73

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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.