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Finding the Fourth Proportional to 3,783.71, 5,221.57 and 2,291.76

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Solution

The fourth proportional to 3,783.71, 5,221.57 and 2,291.76 is: 3,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.71 : 5,221.57 = 2,291.76 : x
  2. Step 2: Convert to fraction form
    3,783.71/5,221.57 = 2,291.76/x
  3. Step 3: Cross multiply
    3,783.71x = 5,221.57 × 2,291.76
  4. Step 4: Simplify right side
    3,783.71x = 11,966,585.26
  5. Step 5: Solve for x
    x = 11,966,585.26/3,783.71
  6. Step 6: Final answer
    x = 3,162.66

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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.