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Finding the Fourth Proportional to 4,537.81, 6,793.48 and 3,446.47

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Solution

The fourth proportional to 4,537.81, 6,793.48 and 3,446.47 is: 5,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.81 : 6,793.48 = 3,446.47 : x
  2. Step 2: Convert to fraction form
    4,537.81/6,793.48 = 3,446.47/x
  3. Step 3: Cross multiply
    4,537.81x = 6,793.48 × 3,446.47
  4. Step 4: Simplify right side
    4,537.81x = 23,413,525.02
  5. Step 5: Solve for x
    x = 23,413,525.02/4,537.81
  6. Step 6: Final answer
    x = 5,159.65

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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.