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Finding the Fourth Proportional to 5,140.01, 7,093.23 and 2,782.16

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Solution

The fourth proportional to 5,140.01, 7,093.23 and 2,782.16 is: 3,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.01 : 7,093.23 = 2,782.16 : x
  2. Step 2: Convert to fraction form
    5,140.01/7,093.23 = 2,782.16/x
  3. Step 3: Cross multiply
    5,140.01x = 7,093.23 × 2,782.16
  4. Step 4: Simplify right side
    5,140.01x = 19,734,500.78
  5. Step 5: Solve for x
    x = 19,734,500.78/5,140.01
  6. Step 6: Final answer
    x = 3,839.39

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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.