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Finding the Fourth Proportional to 4,567.87, 6,849.51 and 1,792.41

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Solution

The fourth proportional to 4,567.87, 6,849.51 and 1,792.41 is: 2,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.87 : 6,849.51 = 1,792.41 : x
  2. Step 2: Convert to fraction form
    4,567.87/6,849.51 = 1,792.41/x
  3. Step 3: Cross multiply
    4,567.87x = 6,849.51 × 1,792.41
  4. Step 4: Simplify right side
    4,567.87x = 12,277,130.22
  5. Step 5: Solve for x
    x = 12,277,130.22/4,567.87
  6. Step 6: Final answer
    x = 2,687.71

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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.