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Finding the Fourth Proportional to 4,166.46, 5,751.09 and 2,398.50

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Solution

The fourth proportional to 4,166.46, 5,751.09 and 2,398.50 is: 3,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.46 : 5,751.09 = 2,398.50 : x
  2. Step 2: Convert to fraction form
    4,166.46/5,751.09 = 2,398.50/x
  3. Step 3: Cross multiply
    4,166.46x = 5,751.09 × 2,398.50
  4. Step 4: Simplify right side
    4,166.46x = 13,793,989.37
  5. Step 5: Solve for x
    x = 13,793,989.37/4,166.46
  6. Step 6: Final answer
    x = 3,310.72

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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.