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Finding the Fourth Proportional to 3,716.81, 5,570.36 and 1,522.97

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Solution

The fourth proportional to 3,716.81, 5,570.36 and 1,522.97 is: 2,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.81 : 5,570.36 = 1,522.97 : x
  2. Step 2: Convert to fraction form
    3,716.81/5,570.36 = 1,522.97/x
  3. Step 3: Cross multiply
    3,716.81x = 5,570.36 × 1,522.97
  4. Step 4: Simplify right side
    3,716.81x = 8,483,483.55
  5. Step 5: Solve for x
    x = 8,483,483.55/3,716.81
  6. Step 6: Final answer
    x = 2,282.46

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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.