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Finding the Fourth Proportional to 5,746.33, 8,615.85 and 2,824.66

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Solution

The fourth proportional to 5,746.33, 8,615.85 and 2,824.66 is: 4,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.33 : 8,615.85 = 2,824.66 : x
  2. Step 2: Convert to fraction form
    5,746.33/8,615.85 = 2,824.66/x
  3. Step 3: Cross multiply
    5,746.33x = 8,615.85 × 2,824.66
  4. Step 4: Simplify right side
    5,746.33x = 24,336,846.86
  5. Step 5: Solve for x
    x = 24,336,846.86/5,746.33
  6. Step 6: Final answer
    x = 4,235.20

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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.