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Finding the Fourth Proportional to 5,140.01, 7,093.19 and 2,782.14

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Solution

The fourth proportional to 5,140.01, 7,093.19 and 2,782.14 is: 3,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.01 : 7,093.19 = 2,782.14 : x
  2. Step 2: Convert to fraction form
    5,140.01/7,093.19 = 2,782.14/x
  3. Step 3: Cross multiply
    5,140.01x = 7,093.19 × 2,782.14
  4. Step 4: Simplify right side
    5,140.01x = 19,734,233.72
  5. Step 5: Solve for x
    x = 19,734,233.72/5,140.01
  6. Step 6: Final answer
    x = 3,839.34

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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.