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Finding the Fourth Proportional to 4,660.88, 6,432.84 and 2,798

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Solution

The fourth proportional to 4,660.88, 6,432.84 and 2,798 is: 3,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.88 : 6,432.84 = 2,798 : x
  2. Step 2: Convert to fraction form
    4,660.88/6,432.84 = 2,798/x
  3. Step 3: Cross multiply
    4,660.88x = 6,432.84 × 2,798
  4. Step 4: Simplify right side
    4,660.88x = 17,999,086.32
  5. Step 5: Solve for x
    x = 17,999,086.32/4,660.88
  6. Step 6: Final answer
    x = 3,861.74

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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.