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Finding the Fourth Proportional to 3,758.16, 5,637.51 and 1,160.76

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Solution

The fourth proportional to 3,758.16, 5,637.51 and 1,160.76 is: 1,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.16 : 5,637.51 = 1,160.76 : x
  2. Step 2: Convert to fraction form
    3,758.16/5,637.51 = 1,160.76/x
  3. Step 3: Cross multiply
    3,758.16x = 5,637.51 × 1,160.76
  4. Step 4: Simplify right side
    3,758.16x = 6,543,796.11
  5. Step 5: Solve for x
    x = 6,543,796.11/3,758.16
  6. Step 6: Final answer
    x = 1,741.22

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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.