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Finding the Fourth Proportional to 3,564.71, 4,920.87 and 2,289.92

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Solution

The fourth proportional to 3,564.71, 4,920.87 and 2,289.92 is: 3,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.71 : 4,920.87 = 2,289.92 : x
  2. Step 2: Convert to fraction form
    3,564.71/4,920.87 = 2,289.92/x
  3. Step 3: Cross multiply
    3,564.71x = 4,920.87 × 2,289.92
  4. Step 4: Simplify right side
    3,564.71x = 11,268,425.06
  5. Step 5: Solve for x
    x = 11,268,425.06/3,564.71
  6. Step 6: Final answer
    x = 3,161.11

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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.