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Finding the Fourth Proportional to 4,166.44, 5,752.08 and 4,001.20

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Solution

The fourth proportional to 4,166.44, 5,752.08 and 4,001.20 is: 5,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.44 : 5,752.08 = 4,001.20 : x
  2. Step 2: Convert to fraction form
    4,166.44/5,752.08 = 4,001.20/x
  3. Step 3: Cross multiply
    4,166.44x = 5,752.08 × 4,001.20
  4. Step 4: Simplify right side
    4,166.44x = 23,015,222.50
  5. Step 5: Solve for x
    x = 23,015,222.50/4,166.44
  6. Step 6: Final answer
    x = 5,523.95

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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.