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Finding the Fourth Proportional to 3,758.66, 5,637.96 and 1,537.02

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Solution

The fourth proportional to 3,758.66, 5,637.96 and 1,537.02 is: 2,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.66 : 5,637.96 = 1,537.02 : x
  2. Step 2: Convert to fraction form
    3,758.66/5,637.96 = 1,537.02/x
  3. Step 3: Cross multiply
    3,758.66x = 5,637.96 × 1,537.02
  4. Step 4: Simplify right side
    3,758.66x = 8,665,657.28
  5. Step 5: Solve for x
    x = 8,665,657.28/3,758.66
  6. Step 6: Final answer
    x = 2,305.52

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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.