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Finding the Fourth Proportional to 4,606.34, 6,354.36 and 3,114.79

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Solution

The fourth proportional to 4,606.34, 6,354.36 and 3,114.79 is: 4,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.34 : 6,354.36 = 3,114.79 : x
  2. Step 2: Convert to fraction form
    4,606.34/6,354.36 = 3,114.79/x
  3. Step 3: Cross multiply
    4,606.34x = 6,354.36 × 3,114.79
  4. Step 4: Simplify right side
    4,606.34x = 19,792,481.10
  5. Step 5: Solve for x
    x = 19,792,481.10/4,606.34
  6. Step 6: Final answer
    x = 4,296.80

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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.