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Finding the Fourth Proportional to 5,595.86, 7,722.50 and 3,206.21

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Solution

The fourth proportional to 5,595.86, 7,722.50 and 3,206.21 is: 4,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.86 : 7,722.50 = 3,206.21 : x
  2. Step 2: Convert to fraction form
    5,595.86/7,722.50 = 3,206.21/x
  3. Step 3: Cross multiply
    5,595.86x = 7,722.50 × 3,206.21
  4. Step 4: Simplify right side
    5,595.86x = 24,759,940.69
  5. Step 5: Solve for x
    x = 24,759,940.69/5,595.86
  6. Step 6: Final answer
    x = 4,424.69

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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.