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Finding the Fourth Proportional to 5,213.26, 7,809.60 and 3,358

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Solution

The fourth proportional to 5,213.26, 7,809.60 and 3,358 is: 5,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.26 : 7,809.60 = 3,358 : x
  2. Step 2: Convert to fraction form
    5,213.26/7,809.60 = 3,358/x
  3. Step 3: Cross multiply
    5,213.26x = 7,809.60 × 3,358
  4. Step 4: Simplify right side
    5,213.26x = 26,224,636.80
  5. Step 5: Solve for x
    x = 26,224,636.80/5,213.26
  6. Step 6: Final answer
    x = 5,030.37

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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.