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Finding the Fourth Proportional to 5,801.24, 8,004.46 and 3,444.16

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Solution

The fourth proportional to 5,801.24, 8,004.46 and 3,444.16 is: 4,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.24 : 8,004.46 = 3,444.16 : x
  2. Step 2: Convert to fraction form
    5,801.24/8,004.46 = 3,444.16/x
  3. Step 3: Cross multiply
    5,801.24x = 8,004.46 × 3,444.16
  4. Step 4: Simplify right side
    5,801.24x = 27,568,640.95
  5. Step 5: Solve for x
    x = 27,568,640.95/5,801.24
  6. Step 6: Final answer
    x = 4,752.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.