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Finding the Fourth Proportional to 4,859.06, 6,706.36 and 2,869.48

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Solution

The fourth proportional to 4,859.06, 6,706.36 and 2,869.48 is: 3,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.06 : 6,706.36 = 2,869.48 : x
  2. Step 2: Convert to fraction form
    4,859.06/6,706.36 = 2,869.48/x
  3. Step 3: Cross multiply
    4,859.06x = 6,706.36 × 2,869.48
  4. Step 4: Simplify right side
    4,859.06x = 19,243,765.89
  5. Step 5: Solve for x
    x = 19,243,765.89/4,859.06
  6. Step 6: Final answer
    x = 3,960.39

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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.