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Finding the Fourth Proportional to 4,609.80, 6,317.21 and 4,166.94

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Solution

The fourth proportional to 4,609.80, 6,317.21 and 4,166.94 is: 5,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.80 : 6,317.21 = 4,166.94 : x
  2. Step 2: Convert to fraction form
    4,609.80/6,317.21 = 4,166.94/x
  3. Step 3: Cross multiply
    4,609.80x = 6,317.21 × 4,166.94
  4. Step 4: Simplify right side
    4,609.80x = 26,323,414.20
  5. Step 5: Solve for x
    x = 26,323,414.20/4,609.80
  6. Step 6: Final answer
    x = 5,710.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.