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Finding the Fourth Proportional to 4,956.84, 7,419.76 and 3,199.50

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Solution

The fourth proportional to 4,956.84, 7,419.76 and 3,199.50 is: 4,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.84 : 7,419.76 = 3,199.50 : x
  2. Step 2: Convert to fraction form
    4,956.84/7,419.76 = 3,199.50/x
  3. Step 3: Cross multiply
    4,956.84x = 7,419.76 × 3,199.50
  4. Step 4: Simplify right side
    4,956.84x = 23,739,514.12
  5. Step 5: Solve for x
    x = 23,739,514.12/4,956.84
  6. Step 6: Final answer
    x = 4,789.24

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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.