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Finding the Fourth Proportional to 3,761.51, 5,643.22 and 1,129

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Solution

The fourth proportional to 3,761.51, 5,643.22 and 1,129 is: 1,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.51 : 5,643.22 = 1,129 : x
  2. Step 2: Convert to fraction form
    3,761.51/5,643.22 = 1,129/x
  3. Step 3: Cross multiply
    3,761.51x = 5,643.22 × 1,129
  4. Step 4: Simplify right side
    3,761.51x = 6,371,195.38
  5. Step 5: Solve for x
    x = 6,371,195.38/3,761.51
  6. Step 6: Final answer
    x = 1,693.79

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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.