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Finding the Fourth Proportional to 3,584.54, 4,946.64 and 2,072.07

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Solution

The fourth proportional to 3,584.54, 4,946.64 and 2,072.07 is: 2,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.54 : 4,946.64 = 2,072.07 : x
  2. Step 2: Convert to fraction form
    3,584.54/4,946.64 = 2,072.07/x
  3. Step 3: Cross multiply
    3,584.54x = 4,946.64 × 2,072.07
  4. Step 4: Simplify right side
    3,584.54x = 10,249,788.23
  5. Step 5: Solve for x
    x = 10,249,788.23/3,584.54
  6. Step 6: Final answer
    x = 2,859.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.