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Finding the Fourth Proportional to 5,226, 7,213.32 and 3,570

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Solution

The fourth proportional to 5,226, 7,213.32 and 3,570 is: 4,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226 : 7,213.32 = 3,570 : x
  2. Step 2: Convert to fraction form
    5,226/7,213.32 = 3,570/x
  3. Step 3: Cross multiply
    5,226x = 7,213.32 × 3,570
  4. Step 4: Simplify right side
    5,226x = 25,751,552.40
  5. Step 5: Solve for x
    x = 25,751,552.40/5,226
  6. Step 6: Final answer
    x = 4,927.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.