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Finding the Fourth Proportional to 3,783.81, 5,675.07 and 1,010.79

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Solution

The fourth proportional to 3,783.81, 5,675.07 and 1,010.79 is: 1,516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.81 : 5,675.07 = 1,010.79 : x
  2. Step 2: Convert to fraction form
    3,783.81/5,675.07 = 1,010.79/x
  3. Step 3: Cross multiply
    3,783.81x = 5,675.07 × 1,010.79
  4. Step 4: Simplify right side
    3,783.81x = 5,736,304.01
  5. Step 5: Solve for x
    x = 5,736,304.01/3,783.81
  6. Step 6: Final answer
    x = 1,516.01

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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.