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Finding the Fourth Proportional to 4,956.34, 7,419.01 and 3,199

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Solution

The fourth proportional to 4,956.34, 7,419.01 and 3,199 is: 4,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.34 : 7,419.01 = 3,199 : x
  2. Step 2: Convert to fraction form
    4,956.34/7,419.01 = 3,199/x
  3. Step 3: Cross multiply
    4,956.34x = 7,419.01 × 3,199
  4. Step 4: Simplify right side
    4,956.34x = 23,733,412.99
  5. Step 5: Solve for x
    x = 23,733,412.99/4,956.34
  6. Step 6: Final answer
    x = 4,788.50

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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.