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Finding the Fourth Proportional to 3,476.50, 4,797.82 and 2,295.52

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Solution

The fourth proportional to 3,476.50, 4,797.82 and 2,295.52 is: 3,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.50 : 4,797.82 = 2,295.52 : x
  2. Step 2: Convert to fraction form
    3,476.50/4,797.82 = 2,295.52/x
  3. Step 3: Cross multiply
    3,476.50x = 4,797.82 × 2,295.52
  4. Step 4: Simplify right side
    3,476.50x = 11,013,491.77
  5. Step 5: Solve for x
    x = 11,013,491.77/3,476.50
  6. Step 6: Final answer
    x = 3,167.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.