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Finding the Fourth Proportional to 4,171.44, 6,256.17 and 1,537.51

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Solution

The fourth proportional to 4,171.44, 6,256.17 and 1,537.51 is: 2,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.44 : 6,256.17 = 1,537.51 : x
  2. Step 2: Convert to fraction form
    4,171.44/6,256.17 = 1,537.51/x
  3. Step 3: Cross multiply
    4,171.44x = 6,256.17 × 1,537.51
  4. Step 4: Simplify right side
    4,171.44x = 9,618,946.79
  5. Step 5: Solve for x
    x = 9,618,946.79/4,171.44
  6. Step 6: Final answer
    x = 2,305.91

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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.