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Finding the Fourth Proportional to 4,861.53, 6,706.53 and 2,871.63

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Solution

The fourth proportional to 4,861.53, 6,706.53 and 2,871.63 is: 3,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.53 : 6,706.53 = 2,871.63 : x
  2. Step 2: Convert to fraction form
    4,861.53/6,706.53 = 2,871.63/x
  3. Step 3: Cross multiply
    4,861.53x = 6,706.53 × 2,871.63
  4. Step 4: Simplify right side
    4,861.53x = 19,258,672.74
  5. Step 5: Solve for x
    x = 19,258,672.74/4,861.53
  6. Step 6: Final answer
    x = 3,961.44

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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.