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Finding the Fourth Proportional to 5,364, 7,404.74 and 3,377.48

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Solution

The fourth proportional to 5,364, 7,404.74 and 3,377.48 is: 4,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364 : 7,404.74 = 3,377.48 : x
  2. Step 2: Convert to fraction form
    5,364/7,404.74 = 3,377.48/x
  3. Step 3: Cross multiply
    5,364x = 7,404.74 × 3,377.48
  4. Step 4: Simplify right side
    5,364x = 25,009,332.68
  5. Step 5: Solve for x
    x = 25,009,332.68/5,364
  6. Step 6: Final answer
    x = 4,662.44

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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.