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Finding the Fourth Proportional to 4,859.76, 6,709.02 and 3,444.61

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Solution

The fourth proportional to 4,859.76, 6,709.02 and 3,444.61 is: 4,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.76 : 6,709.02 = 3,444.61 : x
  2. Step 2: Convert to fraction form
    4,859.76/6,709.02 = 3,444.61/x
  3. Step 3: Cross multiply
    4,859.76x = 6,709.02 × 3,444.61
  4. Step 4: Simplify right side
    4,859.76x = 23,109,957.38
  5. Step 5: Solve for x
    x = 23,109,957.38/4,859.76
  6. Step 6: Final answer
    x = 4,755.37

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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.