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Finding the Fourth Proportional to 4,859.76, 6,705.28 and 2,734.88

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Solution

The fourth proportional to 4,859.76, 6,705.28 and 2,734.88 is: 3,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.76 : 6,705.28 = 2,734.88 : x
  2. Step 2: Convert to fraction form
    4,859.76/6,705.28 = 2,734.88/x
  3. Step 3: Cross multiply
    4,859.76x = 6,705.28 × 2,734.88
  4. Step 4: Simplify right side
    4,859.76x = 18,338,106.06
  5. Step 5: Solve for x
    x = 18,338,106.06/4,859.76
  6. Step 6: Final answer
    x = 3,773.46

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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.