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Finding the Fourth Proportional to 5,844.36, 8,756.64 and 3,531

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Solution

The fourth proportional to 5,844.36, 8,756.64 and 3,531 is: 5,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.36 : 8,756.64 = 3,531 : x
  2. Step 2: Convert to fraction form
    5,844.36/8,756.64 = 3,531/x
  3. Step 3: Cross multiply
    5,844.36x = 8,756.64 × 3,531
  4. Step 4: Simplify right side
    5,844.36x = 30,919,695.84
  5. Step 5: Solve for x
    x = 30,919,695.84/5,844.36
  6. Step 6: Final answer
    x = 5,290.52

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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.