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Finding the Fourth Proportional to 4,080.40, 5,627.82 and 2,752

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Solution

The fourth proportional to 4,080.40, 5,627.82 and 2,752 is: 3,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080.40 : 5,627.82 = 2,752 : x
  2. Step 2: Convert to fraction form
    4,080.40/5,627.82 = 2,752/x
  3. Step 3: Cross multiply
    4,080.40x = 5,627.82 × 2,752
  4. Step 4: Simplify right side
    4,080.40x = 15,487,760.64
  5. Step 5: Solve for x
    x = 15,487,760.64/4,080.40
  6. Step 6: Final answer
    x = 3,795.65

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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.