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Finding the Fourth Proportional to 4,609.07, 6,358.49 and 3,116.44

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Solution

The fourth proportional to 4,609.07, 6,358.49 and 3,116.44 is: 4,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.07 : 6,358.49 = 3,116.44 : x
  2. Step 2: Convert to fraction form
    4,609.07/6,358.49 = 3,116.44/x
  3. Step 3: Cross multiply
    4,609.07x = 6,358.49 × 3,116.44
  4. Step 4: Simplify right side
    4,609.07x = 19,815,852.58
  5. Step 5: Solve for x
    x = 19,815,852.58/4,609.07
  6. Step 6: Final answer
    x = 4,299.32

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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.