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Finding the Fourth Proportional to 4,077.44, 5,627.02 and 2,506.04

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Solution

The fourth proportional to 4,077.44, 5,627.02 and 2,506.04 is: 3,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.44 : 5,627.02 = 2,506.04 : x
  2. Step 2: Convert to fraction form
    4,077.44/5,627.02 = 2,506.04/x
  3. Step 3: Cross multiply
    4,077.44x = 5,627.02 × 2,506.04
  4. Step 4: Simplify right side
    4,077.44x = 14,101,537.20
  5. Step 5: Solve for x
    x = 14,101,537.20/4,077.44
  6. Step 6: Final answer
    x = 3,458.43

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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.