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Finding the Fourth Proportional to 4,779, 7,166.68 and 1,856.92

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Solution

The fourth proportional to 4,779, 7,166.68 and 1,856.92 is: 2,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779 : 7,166.68 = 1,856.92 : x
  2. Step 2: Convert to fraction form
    4,779/7,166.68 = 1,856.92/x
  3. Step 3: Cross multiply
    4,779x = 7,166.68 × 1,856.92
  4. Step 4: Simplify right side
    4,779x = 13,307,951.43
  5. Step 5: Solve for x
    x = 13,307,951.43/4,779
  6. Step 6: Final answer
    x = 2,784.67

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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.