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Finding the Fourth Proportional to 4,941.66, 6,817.14 and 3,052.57

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Solution

The fourth proportional to 4,941.66, 6,817.14 and 3,052.57 is: 4,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.66 : 6,817.14 = 3,052.57 : x
  2. Step 2: Convert to fraction form
    4,941.66/6,817.14 = 3,052.57/x
  3. Step 3: Cross multiply
    4,941.66x = 6,817.14 × 3,052.57
  4. Step 4: Simplify right side
    4,941.66x = 20,809,767.45
  5. Step 5: Solve for x
    x = 20,809,767.45/4,941.66
  6. Step 6: Final answer
    x = 4,211.09

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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.