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Finding the Fourth Proportional to 5,206.68, 7,179.08 and 4,208.85

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Solution

The fourth proportional to 5,206.68, 7,179.08 and 4,208.85 is: 5,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.68 : 7,179.08 = 4,208.85 : x
  2. Step 2: Convert to fraction form
    5,206.68/7,179.08 = 4,208.85/x
  3. Step 3: Cross multiply
    5,206.68x = 7,179.08 × 4,208.85
  4. Step 4: Simplify right side
    5,206.68x = 30,215,649.81
  5. Step 5: Solve for x
    x = 30,215,649.81/5,206.68
  6. Step 6: Final answer
    x = 5,803.25

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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.