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Finding the Fourth Proportional to 3,885.76, 5,831.16 and 1,694.62

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Solution

The fourth proportional to 3,885.76, 5,831.16 and 1,694.62 is: 2,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.76 : 5,831.16 = 1,694.62 : x
  2. Step 2: Convert to fraction form
    3,885.76/5,831.16 = 1,694.62/x
  3. Step 3: Cross multiply
    3,885.76x = 5,831.16 × 1,694.62
  4. Step 4: Simplify right side
    3,885.76x = 9,881,600.36
  5. Step 5: Solve for x
    x = 9,881,600.36/3,885.76
  6. Step 6: Final answer
    x = 2,543.03

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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.