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Finding the Fourth Proportional to 5,754.60, 7,941.62 and 3,516.10

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Solution

The fourth proportional to 5,754.60, 7,941.62 and 3,516.10 is: 4,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.60 : 7,941.62 = 3,516.10 : x
  2. Step 2: Convert to fraction form
    5,754.60/7,941.62 = 3,516.10/x
  3. Step 3: Cross multiply
    5,754.60x = 7,941.62 × 3,516.10
  4. Step 4: Simplify right side
    5,754.60x = 27,923,530.08
  5. Step 5: Solve for x
    x = 27,923,530.08/5,754.60
  6. Step 6: Final answer
    x = 4,852.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.