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Finding the Fourth Proportional to 4,795.14, 6,617.34 and 2,932.14

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Solution

The fourth proportional to 4,795.14, 6,617.34 and 2,932.14 is: 4,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,795.14 : 6,617.34 = 2,932.14 : x
  2. Step 2: Convert to fraction form
    4,795.14/6,617.34 = 2,932.14/x
  3. Step 3: Cross multiply
    4,795.14x = 6,617.34 × 2,932.14
  4. Step 4: Simplify right side
    4,795.14x = 19,402,967.31
  5. Step 5: Solve for x
    x = 19,402,967.31/4,795.14
  6. Step 6: Final answer
    x = 4,046.38

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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.