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Finding the Fourth Proportional to 4,472.76, 6,709.14 and 1,395

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Solution

The fourth proportional to 4,472.76, 6,709.14 and 1,395 is: 2,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.76 : 6,709.14 = 1,395 : x
  2. Step 2: Convert to fraction form
    4,472.76/6,709.14 = 1,395/x
  3. Step 3: Cross multiply
    4,472.76x = 6,709.14 × 1,395
  4. Step 4: Simplify right side
    4,472.76x = 9,359,250.30
  5. Step 5: Solve for x
    x = 9,359,250.30/4,472.76
  6. Step 6: Final answer
    x = 2,092.50

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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.