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Finding the Fourth Proportional to 5,147.55, 7,724.12 and 2,185.54

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Solution

The fourth proportional to 5,147.55, 7,724.12 and 2,185.54 is: 3,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.55 : 7,724.12 = 2,185.54 : x
  2. Step 2: Convert to fraction form
    5,147.55/7,724.12 = 2,185.54/x
  3. Step 3: Cross multiply
    5,147.55x = 7,724.12 × 2,185.54
  4. Step 4: Simplify right side
    5,147.55x = 16,881,373.22
  5. Step 5: Solve for x
    x = 16,881,373.22/5,147.55
  6. Step 6: Final answer
    x = 3,279.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.