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Finding the Fourth Proportional to 4,537.76, 6,791.09 and 3,152.66

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Solution

The fourth proportional to 4,537.76, 6,791.09 and 3,152.66 is: 4,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.76 : 6,791.09 = 3,152.66 : x
  2. Step 2: Convert to fraction form
    4,537.76/6,791.09 = 3,152.66/x
  3. Step 3: Cross multiply
    4,537.76x = 6,791.09 × 3,152.66
  4. Step 4: Simplify right side
    4,537.76x = 21,409,948.08
  5. Step 5: Solve for x
    x = 21,409,948.08/4,537.76
  6. Step 6: Final answer
    x = 4,718.18

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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.