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Finding the Fourth Proportional to 3,225.47, 4,833.63 and 2,834.55

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Solution

The fourth proportional to 3,225.47, 4,833.63 and 2,834.55 is: 4,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.47 : 4,833.63 = 2,834.55 : x
  2. Step 2: Convert to fraction form
    3,225.47/4,833.63 = 2,834.55/x
  3. Step 3: Cross multiply
    3,225.47x = 4,833.63 × 2,834.55
  4. Step 4: Simplify right side
    3,225.47x = 13,701,165.92
  5. Step 5: Solve for x
    x = 13,701,165.92/3,225.47
  6. Step 6: Final answer
    x = 4,247.81

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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.