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Finding the Fourth Proportional to 4,660.77, 6,432.08 and 2,892.94

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Solution

The fourth proportional to 4,660.77, 6,432.08 and 2,892.94 is: 3,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.77 : 6,432.08 = 2,892.94 : x
  2. Step 2: Convert to fraction form
    4,660.77/6,432.08 = 2,892.94/x
  3. Step 3: Cross multiply
    4,660.77x = 6,432.08 × 2,892.94
  4. Step 4: Simplify right side
    4,660.77x = 18,607,621.52
  5. Step 5: Solve for x
    x = 18,607,621.52/4,660.77
  6. Step 6: Final answer
    x = 3,992.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.