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Finding the Fourth Proportional to 5,216.86, 7,199.24 and 2,858.98

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Solution

The fourth proportional to 5,216.86, 7,199.24 and 2,858.98 is: 3,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.86 : 7,199.24 = 2,858.98 : x
  2. Step 2: Convert to fraction form
    5,216.86/7,199.24 = 2,858.98/x
  3. Step 3: Cross multiply
    5,216.86x = 7,199.24 × 2,858.98
  4. Step 4: Simplify right side
    5,216.86x = 20,582,483.18
  5. Step 5: Solve for x
    x = 20,582,483.18/5,216.86
  6. Step 6: Final answer
    x = 3,945.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.