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Finding the Fourth Proportional to 5,249.96, 7,201.52 and 5,140.60

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Solution

The fourth proportional to 5,249.96, 7,201.52 and 5,140.60 is: 7,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.96 : 7,201.52 = 5,140.60 : x
  2. Step 2: Convert to fraction form
    5,249.96/7,201.52 = 5,140.60/x
  3. Step 3: Cross multiply
    5,249.96x = 7,201.52 × 5,140.60
  4. Step 4: Simplify right side
    5,249.96x = 37,020,133.71
  5. Step 5: Solve for x
    x = 37,020,133.71/5,249.96
  6. Step 6: Final answer
    x = 7,051.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.