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Finding the Fourth Proportional to 5,369.74, 8,056.66 and 2,085.14

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Solution

The fourth proportional to 5,369.74, 8,056.66 and 2,085.14 is: 3,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.74 : 8,056.66 = 2,085.14 : x
  2. Step 2: Convert to fraction form
    5,369.74/8,056.66 = 2,085.14/x
  3. Step 3: Cross multiply
    5,369.74x = 8,056.66 × 2,085.14
  4. Step 4: Simplify right side
    5,369.74x = 16,799,213.32
  5. Step 5: Solve for x
    x = 16,799,213.32/5,369.74
  6. Step 6: Final answer
    x = 3,128.50

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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.