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Finding the Fourth Proportional to 4,649.90, 6,414.47 and 2,969.54

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Solution

The fourth proportional to 4,649.90, 6,414.47 and 2,969.54 is: 4,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.90 : 6,414.47 = 2,969.54 : x
  2. Step 2: Convert to fraction form
    4,649.90/6,414.47 = 2,969.54/x
  3. Step 3: Cross multiply
    4,649.90x = 6,414.47 × 2,969.54
  4. Step 4: Simplify right side
    4,649.90x = 19,047,978.32
  5. Step 5: Solve for x
    x = 19,047,978.32/4,649.90
  6. Step 6: Final answer
    x = 4,096.43

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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.