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Finding the Fourth Proportional to 4,657.39, 6,428.57 and 2,770.31

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Solution

The fourth proportional to 4,657.39, 6,428.57 and 2,770.31 is: 3,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.39 : 6,428.57 = 2,770.31 : x
  2. Step 2: Convert to fraction form
    4,657.39/6,428.57 = 2,770.31/x
  3. Step 3: Cross multiply
    4,657.39x = 6,428.57 × 2,770.31
  4. Step 4: Simplify right side
    4,657.39x = 17,809,131.76
  5. Step 5: Solve for x
    x = 17,809,131.76/4,657.39
  6. Step 6: Final answer
    x = 3,823.84

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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.