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Finding the Fourth Proportional to 5,216.78, 7,199.34 and 2,858.93

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Solution

The fourth proportional to 5,216.78, 7,199.34 and 2,858.93 is: 3,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.78 : 7,199.34 = 2,858.93 : x
  2. Step 2: Convert to fraction form
    5,216.78/7,199.34 = 2,858.93/x
  3. Step 3: Cross multiply
    5,216.78x = 7,199.34 × 2,858.93
  4. Step 4: Simplify right side
    5,216.78x = 20,582,373.11
  5. Step 5: Solve for x
    x = 20,582,373.11/5,216.78
  6. Step 6: Final answer
    x = 3,945.42

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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.