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Finding the Fourth Proportional to 4,792.66, 7,180.34 and 4,011.82

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Solution

The fourth proportional to 4,792.66, 7,180.34 and 4,011.82 is: 6,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.66 : 7,180.34 = 4,011.82 : x
  2. Step 2: Convert to fraction form
    4,792.66/7,180.34 = 4,011.82/x
  3. Step 3: Cross multiply
    4,792.66x = 7,180.34 × 4,011.82
  4. Step 4: Simplify right side
    4,792.66x = 28,806,193.61
  5. Step 5: Solve for x
    x = 28,806,193.61/4,792.66
  6. Step 6: Final answer
    x = 6,010.48

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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.