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Finding the Fourth Proportional to 3,498.74, 4,823.78 and 2,866.94

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Solution

The fourth proportional to 3,498.74, 4,823.78 and 2,866.94 is: 3,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.74 : 4,823.78 = 2,866.94 : x
  2. Step 2: Convert to fraction form
    3,498.74/4,823.78 = 2,866.94/x
  3. Step 3: Cross multiply
    3,498.74x = 4,823.78 × 2,866.94
  4. Step 4: Simplify right side
    3,498.74x = 13,829,487.83
  5. Step 5: Solve for x
    x = 13,829,487.83/3,498.74
  6. Step 6: Final answer
    x = 3,952.71

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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.