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Finding the Fourth Proportional to 4,650.06, 6,414.12 and 2,969.70

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Solution

The fourth proportional to 4,650.06, 6,414.12 and 2,969.70 is: 4,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.06 : 6,414.12 = 2,969.70 : x
  2. Step 2: Convert to fraction form
    4,650.06/6,414.12 = 2,969.70/x
  3. Step 3: Cross multiply
    4,650.06x = 6,414.12 × 2,969.70
  4. Step 4: Simplify right side
    4,650.06x = 19,048,012.16
  5. Step 5: Solve for x
    x = 19,048,012.16/4,650.06
  6. Step 6: Final answer
    x = 4,096.29

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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.