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Finding the Fourth Proportional to 3,665.94, 5,057.73 and 2,421.78

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Solution

The fourth proportional to 3,665.94, 5,057.73 and 2,421.78 is: 3,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.94 : 5,057.73 = 2,421.78 : x
  2. Step 2: Convert to fraction form
    3,665.94/5,057.73 = 2,421.78/x
  3. Step 3: Cross multiply
    3,665.94x = 5,057.73 × 2,421.78
  4. Step 4: Simplify right side
    3,665.94x = 12,248,709.36
  5. Step 5: Solve for x
    x = 12,248,709.36/3,665.94
  6. Step 6: Final answer
    x = 3,341.22

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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.