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Finding the Fourth Proportional to 4,572.93, 6,849.81 and 3,791.07

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Solution

The fourth proportional to 4,572.93, 6,849.81 and 3,791.07 is: 5,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.93 : 6,849.81 = 3,791.07 : x
  2. Step 2: Convert to fraction form
    4,572.93/6,849.81 = 3,791.07/x
  3. Step 3: Cross multiply
    4,572.93x = 6,849.81 × 3,791.07
  4. Step 4: Simplify right side
    4,572.93x = 25,968,109.20
  5. Step 5: Solve for x
    x = 25,968,109.20/4,572.93
  6. Step 6: Final answer
    x = 5,678.66

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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.