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Finding the Fourth Proportional to 4,646.78, 6,958.25 and 2,564.48

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Solution

The fourth proportional to 4,646.78, 6,958.25 and 2,564.48 is: 3,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.78 : 6,958.25 = 2,564.48 : x
  2. Step 2: Convert to fraction form
    4,646.78/6,958.25 = 2,564.48/x
  3. Step 3: Cross multiply
    4,646.78x = 6,958.25 × 2,564.48
  4. Step 4: Simplify right side
    4,646.78x = 17,844,282.44
  5. Step 5: Solve for x
    x = 17,844,282.44/4,646.78
  6. Step 6: Final answer
    x = 3,840.14

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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.