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Finding the Fourth Proportional to 6,085.84, 8,398.50 and 3,433.96

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Solution

The fourth proportional to 6,085.84, 8,398.50 and 3,433.96 is: 4,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.84 : 8,398.50 = 3,433.96 : x
  2. Step 2: Convert to fraction form
    6,085.84/8,398.50 = 3,433.96/x
  3. Step 3: Cross multiply
    6,085.84x = 8,398.50 × 3,433.96
  4. Step 4: Simplify right side
    6,085.84x = 28,840,113.06
  5. Step 5: Solve for x
    x = 28,840,113.06/6,085.84
  6. Step 6: Final answer
    x = 4,738.89

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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.