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Finding the Fourth Proportional to 3,778.31, 5,666.94 and 1,005.21

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Solution

The fourth proportional to 3,778.31, 5,666.94 and 1,005.21 is: 1,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.31 : 5,666.94 = 1,005.21 : x
  2. Step 2: Convert to fraction form
    3,778.31/5,666.94 = 1,005.21/x
  3. Step 3: Cross multiply
    3,778.31x = 5,666.94 × 1,005.21
  4. Step 4: Simplify right side
    3,778.31x = 5,696,464.76
  5. Step 5: Solve for x
    x = 5,696,464.76/3,778.31
  6. Step 6: Final answer
    x = 1,507.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.