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Finding the Fourth Proportional to 4,970.02, 6,858.69 and 2,732.14

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Solution

The fourth proportional to 4,970.02, 6,858.69 and 2,732.14 is: 3,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.02 : 6,858.69 = 2,732.14 : x
  2. Step 2: Convert to fraction form
    4,970.02/6,858.69 = 2,732.14/x
  3. Step 3: Cross multiply
    4,970.02x = 6,858.69 × 2,732.14
  4. Step 4: Simplify right side
    4,970.02x = 18,738,901.30
  5. Step 5: Solve for x
    x = 18,738,901.30/4,970.02
  6. Step 6: Final answer
    x = 3,770.39

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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.