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Finding the Fourth Proportional to 4,606.69, 6,355.21 and 3,114.07

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Solution

The fourth proportional to 4,606.69, 6,355.21 and 3,114.07 is: 4,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.69 : 6,355.21 = 3,114.07 : x
  2. Step 2: Convert to fraction form
    4,606.69/6,355.21 = 3,114.07/x
  3. Step 3: Cross multiply
    4,606.69x = 6,355.21 × 3,114.07
  4. Step 4: Simplify right side
    4,606.69x = 19,790,568.80
  5. Step 5: Solve for x
    x = 19,790,568.80/4,606.69
  6. Step 6: Final answer
    x = 4,296.05

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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.