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Finding the Fourth Proportional to 4,644.39, 6,968.97 and 3,085.47

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Solution

The fourth proportional to 4,644.39, 6,968.97 and 3,085.47 is: 4,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.39 : 6,968.97 = 3,085.47 : x
  2. Step 2: Convert to fraction form
    4,644.39/6,968.97 = 3,085.47/x
  3. Step 3: Cross multiply
    4,644.39x = 6,968.97 × 3,085.47
  4. Step 4: Simplify right side
    4,644.39x = 21,502,547.87
  5. Step 5: Solve for x
    x = 21,502,547.87/4,644.39
  6. Step 6: Final answer
    x = 4,629.79

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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.