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Finding the Fourth Proportional to 3,777.97, 5,667.02 and 1,312.87

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Solution

The fourth proportional to 3,777.97, 5,667.02 and 1,312.87 is: 1,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.97 : 5,667.02 = 1,312.87 : x
  2. Step 2: Convert to fraction form
    3,777.97/5,667.02 = 1,312.87/x
  3. Step 3: Cross multiply
    3,777.97x = 5,667.02 × 1,312.87
  4. Step 4: Simplify right side
    3,777.97x = 7,440,025.65
  5. Step 5: Solve for x
    x = 7,440,025.65/3,777.97
  6. Step 6: Final answer
    x = 1,969.32

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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.