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Finding the Fourth Proportional to 4,941.64, 6,819.62 and 2,703.64

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Solution

The fourth proportional to 4,941.64, 6,819.62 and 2,703.64 is: 3,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.64 : 6,819.62 = 2,703.64 : x
  2. Step 2: Convert to fraction form
    4,941.64/6,819.62 = 2,703.64/x
  3. Step 3: Cross multiply
    4,941.64x = 6,819.62 × 2,703.64
  4. Step 4: Simplify right side
    4,941.64x = 18,437,797.42
  5. Step 5: Solve for x
    x = 18,437,797.42/4,941.64
  6. Step 6: Final answer
    x = 3,731.11

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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.