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Finding the Fourth Proportional to 4,164.68, 6,247.02 and 2,087.23

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Solution

The fourth proportional to 4,164.68, 6,247.02 and 2,087.23 is: 3,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.68 : 6,247.02 = 2,087.23 : x
  2. Step 2: Convert to fraction form
    4,164.68/6,247.02 = 2,087.23/x
  3. Step 3: Cross multiply
    4,164.68x = 6,247.02 × 2,087.23
  4. Step 4: Simplify right side
    4,164.68x = 13,038,967.55
  5. Step 5: Solve for x
    x = 13,038,967.55/4,164.68
  6. Step 6: Final answer
    x = 3,130.85

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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.