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Finding the Fourth Proportional to 6,074.86, 8,384.08 and 3,422.92

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Solution

The fourth proportional to 6,074.86, 8,384.08 and 3,422.92 is: 4,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.86 : 8,384.08 = 3,422.92 : x
  2. Step 2: Convert to fraction form
    6,074.86/8,384.08 = 3,422.92/x
  3. Step 3: Cross multiply
    6,074.86x = 8,384.08 × 3,422.92
  4. Step 4: Simplify right side
    6,074.86x = 28,698,035.11
  5. Step 5: Solve for x
    x = 28,698,035.11/6,074.86
  6. Step 6: Final answer
    x = 4,724.07

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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.