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Finding the Fourth Proportional to 5,784.35, 8,674.34 and 2,085.66

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Solution

The fourth proportional to 5,784.35, 8,674.34 and 2,085.66 is: 3,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.35 : 8,674.34 = 2,085.66 : x
  2. Step 2: Convert to fraction form
    5,784.35/8,674.34 = 2,085.66/x
  3. Step 3: Cross multiply
    5,784.35x = 8,674.34 × 2,085.66
  4. Step 4: Simplify right side
    5,784.35x = 18,091,713.54
  5. Step 5: Solve for x
    x = 18,091,713.54/5,784.35
  6. Step 6: Final answer
    x = 3,127.70

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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.