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Finding the Fourth Proportional to 5,752.16, 8,629.92 and 2,289.92

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Solution

The fourth proportional to 5,752.16, 8,629.92 and 2,289.92 is: 3,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.16 : 8,629.92 = 2,289.92 : x
  2. Step 2: Convert to fraction form
    5,752.16/8,629.92 = 2,289.92/x
  3. Step 3: Cross multiply
    5,752.16x = 8,629.92 × 2,289.92
  4. Step 4: Simplify right side
    5,752.16x = 19,761,826.41
  5. Step 5: Solve for x
    x = 19,761,826.41/5,752.16
  6. Step 6: Final answer
    x = 3,435.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.