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Finding the Fourth Proportional to 3,783.71, 5,222.16 and 2,190.40

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Solution

The fourth proportional to 3,783.71, 5,222.16 and 2,190.40 is: 3,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.71 : 5,222.16 = 2,190.40 : x
  2. Step 2: Convert to fraction form
    3,783.71/5,222.16 = 2,190.40/x
  3. Step 3: Cross multiply
    3,783.71x = 5,222.16 × 2,190.40
  4. Step 4: Simplify right side
    3,783.71x = 11,438,619.26
  5. Step 5: Solve for x
    x = 11,438,619.26/3,783.71
  6. Step 6: Final answer
    x = 3,023.12

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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.