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Finding the Fourth Proportional to 5,794.12, 8,000.46 and 5,351.86

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Solution

The fourth proportional to 5,794.12, 8,000.46 and 5,351.86 is: 7,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.12 : 8,000.46 = 5,351.86 : x
  2. Step 2: Convert to fraction form
    5,794.12/8,000.46 = 5,351.86/x
  3. Step 3: Cross multiply
    5,794.12x = 8,000.46 × 5,351.86
  4. Step 4: Simplify right side
    5,794.12x = 42,817,341.86
  5. Step 5: Solve for x
    x = 42,817,341.86/5,794.12
  6. Step 6: Final answer
    x = 7,389.79

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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.