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Finding the Fourth Proportional to 3,783.64, 5,222.46 and 2,291.32

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Solution

The fourth proportional to 3,783.64, 5,222.46 and 2,291.32 is: 3,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.64 : 5,222.46 = 2,291.32 : x
  2. Step 2: Convert to fraction form
    3,783.64/5,222.46 = 2,291.32/x
  3. Step 3: Cross multiply
    3,783.64x = 5,222.46 × 2,291.32
  4. Step 4: Simplify right side
    3,783.64x = 11,966,327.05
  5. Step 5: Solve for x
    x = 11,966,327.05/3,783.64
  6. Step 6: Final answer
    x = 3,162.65

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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.