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Finding the Fourth Proportional to 3,965.64, 5,941.64 and 2,117.63

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Solution

The fourth proportional to 3,965.64, 5,941.64 and 2,117.63 is: 3,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.64 : 5,941.64 = 2,117.63 : x
  2. Step 2: Convert to fraction form
    3,965.64/5,941.64 = 2,117.63/x
  3. Step 3: Cross multiply
    3,965.64x = 5,941.64 × 2,117.63
  4. Step 4: Simplify right side
    3,965.64x = 12,582,154.82
  5. Step 5: Solve for x
    x = 12,582,154.82/3,965.64
  6. Step 6: Final answer
    x = 3,172.79

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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.