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Finding the Fourth Proportional to 3,880.07, 5,820.22 and 958.37

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Solution

The fourth proportional to 3,880.07, 5,820.22 and 958.37 is: 1,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.07 : 5,820.22 = 958.37 : x
  2. Step 2: Convert to fraction form
    3,880.07/5,820.22 = 958.37/x
  3. Step 3: Cross multiply
    3,880.07x = 5,820.22 × 958.37
  4. Step 4: Simplify right side
    3,880.07x = 5,577,919.45
  5. Step 5: Solve for x
    x = 5,577,919.45/3,880.07
  6. Step 6: Final answer
    x = 1,437.58

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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.