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Finding the Fourth Proportional to 3,564.67, 4,920.78 and 2,451.36

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Solution

The fourth proportional to 3,564.67, 4,920.78 and 2,451.36 is: 3,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.67 : 4,920.78 = 2,451.36 : x
  2. Step 2: Convert to fraction form
    3,564.67/4,920.78 = 2,451.36/x
  3. Step 3: Cross multiply
    3,564.67x = 4,920.78 × 2,451.36
  4. Step 4: Simplify right side
    3,564.67x = 12,062,603.26
  5. Step 5: Solve for x
    x = 12,062,603.26/3,564.67
  6. Step 6: Final answer
    x = 3,383.93

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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.