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Finding the Fourth Proportional to 3,460.61, 4,775.38 and 1,968.55

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Solution

The fourth proportional to 3,460.61, 4,775.38 and 1,968.55 is: 2,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.61 : 4,775.38 = 1,968.55 : x
  2. Step 2: Convert to fraction form
    3,460.61/4,775.38 = 1,968.55/x
  3. Step 3: Cross multiply
    3,460.61x = 4,775.38 × 1,968.55
  4. Step 4: Simplify right side
    3,460.61x = 9,400,557.44
  5. Step 5: Solve for x
    x = 9,400,557.44/3,460.61
  6. Step 6: Final answer
    x = 2,716.44

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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.