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Finding the Fourth Proportional to 4,859, 6,707.98 and 3,443.86

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Solution

The fourth proportional to 4,859, 6,707.98 and 3,443.86 is: 4,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859 : 6,707.98 = 3,443.86 : x
  2. Step 2: Convert to fraction form
    4,859/6,707.98 = 3,443.86/x
  3. Step 3: Cross multiply
    4,859x = 6,707.98 × 3,443.86
  4. Step 4: Simplify right side
    4,859x = 23,101,344.00
  5. Step 5: Solve for x
    x = 23,101,344.00/4,859
  6. Step 6: Final answer
    x = 4,754.34

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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.