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Finding the Fourth Proportional to 4,959.24, 6,845 and 3,368.58

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Solution

The fourth proportional to 4,959.24, 6,845 and 3,368.58 is: 4,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.24 : 6,845 = 3,368.58 : x
  2. Step 2: Convert to fraction form
    4,959.24/6,845 = 3,368.58/x
  3. Step 3: Cross multiply
    4,959.24x = 6,845 × 3,368.58
  4. Step 4: Simplify right side
    4,959.24x = 23,057,930.10
  5. Step 5: Solve for x
    x = 23,057,930.10/4,959.24
  6. Step 6: Final answer
    x = 4,649.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.