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Finding the Fourth Proportional to 6,085.42, 8,397.79 and 3,433.68

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Solution

The fourth proportional to 6,085.42, 8,397.79 and 3,433.68 is: 4,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.42 : 8,397.79 = 3,433.68 : x
  2. Step 2: Convert to fraction form
    6,085.42/8,397.79 = 3,433.68/x
  3. Step 3: Cross multiply
    6,085.42x = 8,397.79 × 3,433.68
  4. Step 4: Simplify right side
    6,085.42x = 28,835,323.57
  5. Step 5: Solve for x
    x = 28,835,323.57/6,085.42
  6. Step 6: Final answer
    x = 4,738.43

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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.