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Finding the Fourth Proportional to 3,775.14, 5,662.96 and 1,001.78

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Solution

The fourth proportional to 3,775.14, 5,662.96 and 1,001.78 is: 1,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.14 : 5,662.96 = 1,001.78 : x
  2. Step 2: Convert to fraction form
    3,775.14/5,662.96 = 1,001.78/x
  3. Step 3: Cross multiply
    3,775.14x = 5,662.96 × 1,001.78
  4. Step 4: Simplify right side
    3,775.14x = 5,673,040.07
  5. Step 5: Solve for x
    x = 5,673,040.07/3,775.14
  6. Step 6: Final answer
    x = 1,502.74

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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.