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Finding the Fourth Proportional to 5,205.62, 7,798.34 and 4,623.86

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Solution

The fourth proportional to 5,205.62, 7,798.34 and 4,623.86 is: 6,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.62 : 7,798.34 = 4,623.86 : x
  2. Step 2: Convert to fraction form
    5,205.62/7,798.34 = 4,623.86/x
  3. Step 3: Cross multiply
    5,205.62x = 7,798.34 × 4,623.86
  4. Step 4: Simplify right side
    5,205.62x = 36,058,432.39
  5. Step 5: Solve for x
    x = 36,058,432.39/5,205.62
  6. Step 6: Final answer
    x = 6,926.83

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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.