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Finding the Fourth Proportional to 4,859.47, 6,706 and 2,735.38

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Solution

The fourth proportional to 4,859.47, 6,706 and 2,735.38 is: 3,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.47 : 6,706 = 2,735.38 : x
  2. Step 2: Convert to fraction form
    4,859.47/6,706 = 2,735.38/x
  3. Step 3: Cross multiply
    4,859.47x = 6,706 × 2,735.38
  4. Step 4: Simplify right side
    4,859.47x = 18,343,458.28
  5. Step 5: Solve for x
    x = 18,343,458.28/4,859.47
  6. Step 6: Final answer
    x = 3,774.79

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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.