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Finding the Fourth Proportional to 6,228.04, 8,594.69 and 3,433.54

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Solution

The fourth proportional to 6,228.04, 8,594.69 and 3,433.54 is: 4,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.04 : 8,594.69 = 3,433.54 : x
  2. Step 2: Convert to fraction form
    6,228.04/8,594.69 = 3,433.54/x
  3. Step 3: Cross multiply
    6,228.04x = 8,594.69 × 3,433.54
  4. Step 4: Simplify right side
    6,228.04x = 29,510,151.76
  5. Step 5: Solve for x
    x = 29,510,151.76/6,228.04
  6. Step 6: Final answer
    x = 4,738.28

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Why These Related Problems?

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