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Finding the Fourth Proportional to 3,785.04, 5,675.25 and 1,704.69

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Solution

The fourth proportional to 3,785.04, 5,675.25 and 1,704.69 is: 2,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.04 : 5,675.25 = 1,704.69 : x
  2. Step 2: Convert to fraction form
    3,785.04/5,675.25 = 1,704.69/x
  3. Step 3: Cross multiply
    3,785.04x = 5,675.25 × 1,704.69
  4. Step 4: Simplify right side
    3,785.04x = 9,674,541.92
  5. Step 5: Solve for x
    x = 9,674,541.92/3,785.04
  6. Step 6: Final answer
    x = 2,555.99

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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.