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Finding the Fourth Proportional to 3,608.78, 4,980.44 and 2,265.35

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Solution

The fourth proportional to 3,608.78, 4,980.44 and 2,265.35 is: 3,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.78 : 4,980.44 = 2,265.35 : x
  2. Step 2: Convert to fraction form
    3,608.78/4,980.44 = 2,265.35/x
  3. Step 3: Cross multiply
    3,608.78x = 4,980.44 × 2,265.35
  4. Step 4: Simplify right side
    3,608.78x = 11,282,420.52
  5. Step 5: Solve for x
    x = 11,282,420.52/3,608.78
  6. Step 6: Final answer
    x = 3,126.39

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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.