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Finding the Fourth Proportional to 4,570.46, 6,855.67 and 1,107.71

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Solution

The fourth proportional to 4,570.46, 6,855.67 and 1,107.71 is: 1,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.46 : 6,855.67 = 1,107.71 : x
  2. Step 2: Convert to fraction form
    4,570.46/6,855.67 = 1,107.71/x
  3. Step 3: Cross multiply
    4,570.46x = 6,855.67 × 1,107.71
  4. Step 4: Simplify right side
    4,570.46x = 7,594,091.45
  5. Step 5: Solve for x
    x = 7,594,091.45/4,570.46
  6. Step 6: Final answer
    x = 1,661.56

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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.