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Finding the Fourth Proportional to 5,209.93, 7,820.18 and 4,620.81

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Solution

The fourth proportional to 5,209.93, 7,820.18 and 4,620.81 is: 6,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.93 : 7,820.18 = 4,620.81 : x
  2. Step 2: Convert to fraction form
    5,209.93/7,820.18 = 4,620.81/x
  3. Step 3: Cross multiply
    5,209.93x = 7,820.18 × 4,620.81
  4. Step 4: Simplify right side
    5,209.93x = 36,135,565.95
  5. Step 5: Solve for x
    x = 36,135,565.95/5,209.93
  6. Step 6: Final answer
    x = 6,935.90

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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.