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Finding the Fourth Proportional to 4,612.84, 6,913.77 and 3,792.76

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Solution

The fourth proportional to 4,612.84, 6,913.77 and 3,792.76 is: 5,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.84 : 6,913.77 = 3,792.76 : x
  2. Step 2: Convert to fraction form
    4,612.84/6,913.77 = 3,792.76/x
  3. Step 3: Cross multiply
    4,612.84x = 6,913.77 × 3,792.76
  4. Step 4: Simplify right side
    4,612.84x = 26,222,270.31
  5. Step 5: Solve for x
    x = 26,222,270.31/4,612.84
  6. Step 6: Final answer
    x = 5,684.63

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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.