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Finding the Fourth Proportional to 4,472.87, 6,709.64 and 1,185.89

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Solution

The fourth proportional to 4,472.87, 6,709.64 and 1,185.89 is: 1,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.87 : 6,709.64 = 1,185.89 : x
  2. Step 2: Convert to fraction form
    4,472.87/6,709.64 = 1,185.89/x
  3. Step 3: Cross multiply
    4,472.87x = 6,709.64 × 1,185.89
  4. Step 4: Simplify right side
    4,472.87x = 7,956,893.24
  5. Step 5: Solve for x
    x = 7,956,893.24/4,472.87
  6. Step 6: Final answer
    x = 1,778.92

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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.