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Finding the Fourth Proportional to 4,051.56, 6,076.24 and 1,742.52

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Solution

The fourth proportional to 4,051.56, 6,076.24 and 1,742.52 is: 2,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.56 : 6,076.24 = 1,742.52 : x
  2. Step 2: Convert to fraction form
    4,051.56/6,076.24 = 1,742.52/x
  3. Step 3: Cross multiply
    4,051.56x = 6,076.24 × 1,742.52
  4. Step 4: Simplify right side
    4,051.56x = 10,587,969.72
  5. Step 5: Solve for x
    x = 10,587,969.72/4,051.56
  6. Step 6: Final answer
    x = 2,613.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.