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Finding the Fourth Proportional to 5,142.78, 7,707.42 and 2,369.07

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Solution

The fourth proportional to 5,142.78, 7,707.42 and 2,369.07 is: 3,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.78 : 7,707.42 = 2,369.07 : x
  2. Step 2: Convert to fraction form
    5,142.78/7,707.42 = 2,369.07/x
  3. Step 3: Cross multiply
    5,142.78x = 7,707.42 × 2,369.07
  4. Step 4: Simplify right side
    5,142.78x = 18,259,417.50
  5. Step 5: Solve for x
    x = 18,259,417.50/5,142.78
  6. Step 6: Final answer
    x = 3,550.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.