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Finding the Fourth Proportional to 4,299.14, 6,448.14 and 1,956.62

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Solution

The fourth proportional to 4,299.14, 6,448.14 and 1,956.62 is: 2,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.14 : 6,448.14 = 1,956.62 : x
  2. Step 2: Convert to fraction form
    4,299.14/6,448.14 = 1,956.62/x
  3. Step 3: Cross multiply
    4,299.14x = 6,448.14 × 1,956.62
  4. Step 4: Simplify right side
    4,299.14x = 12,616,575.81
  5. Step 5: Solve for x
    x = 12,616,575.81/4,299.14
  6. Step 6: Final answer
    x = 2,934.67

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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.