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Finding the Fourth Proportional to 3,761.16, 5,642.44 and 1,164.48

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Solution

The fourth proportional to 3,761.16, 5,642.44 and 1,164.48 is: 1,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.16 : 5,642.44 = 1,164.48 : x
  2. Step 2: Convert to fraction form
    3,761.16/5,642.44 = 1,164.48/x
  3. Step 3: Cross multiply
    3,761.16x = 5,642.44 × 1,164.48
  4. Step 4: Simplify right side
    3,761.16x = 6,570,508.53
  5. Step 5: Solve for x
    x = 6,570,508.53/3,761.16
  6. Step 6: Final answer
    x = 1,746.94

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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.