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Finding the Fourth Proportional to 4,517.96, 6,784.47 and 3,046.66

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Solution

The fourth proportional to 4,517.96, 6,784.47 and 3,046.66 is: 4,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.96 : 6,784.47 = 3,046.66 : x
  2. Step 2: Convert to fraction form
    4,517.96/6,784.47 = 3,046.66/x
  3. Step 3: Cross multiply
    4,517.96x = 6,784.47 × 3,046.66
  4. Step 4: Simplify right side
    4,517.96x = 20,669,973.37
  5. Step 5: Solve for x
    x = 20,669,973.37/4,517.96
  6. Step 6: Final answer
    x = 4,575.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.