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Finding the Fourth Proportional to 5,209.86, 7,809.30 and 3,235.50

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Solution

The fourth proportional to 5,209.86, 7,809.30 and 3,235.50 is: 4,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.86 : 7,809.30 = 3,235.50 : x
  2. Step 2: Convert to fraction form
    5,209.86/7,809.30 = 3,235.50/x
  3. Step 3: Cross multiply
    5,209.86x = 7,809.30 × 3,235.50
  4. Step 4: Simplify right side
    5,209.86x = 25,266,990.15
  5. Step 5: Solve for x
    x = 25,266,990.15/5,209.86
  6. Step 6: Final answer
    x = 4,849.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.