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Finding the Fourth Proportional to 3,761.30, 5,642.86 and 1,164.24

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Solution

The fourth proportional to 3,761.30, 5,642.86 and 1,164.24 is: 1,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.30 : 5,642.86 = 1,164.24 : x
  2. Step 2: Convert to fraction form
    3,761.30/5,642.86 = 1,164.24/x
  3. Step 3: Cross multiply
    3,761.30x = 5,642.86 × 1,164.24
  4. Step 4: Simplify right side
    3,761.30x = 6,569,640.42
  5. Step 5: Solve for x
    x = 6,569,640.42/3,761.30
  6. Step 6: Final answer
    x = 1,746.64

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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.