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Finding the Fourth Proportional to 3,785.51, 5,674.04 and 2,858.06

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Solution

The fourth proportional to 3,785.51, 5,674.04 and 2,858.06 is: 4,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.51 : 5,674.04 = 2,858.06 : x
  2. Step 2: Convert to fraction form
    3,785.51/5,674.04 = 2,858.06/x
  3. Step 3: Cross multiply
    3,785.51x = 5,674.04 × 2,858.06
  4. Step 4: Simplify right side
    3,785.51x = 16,216,704.10
  5. Step 5: Solve for x
    x = 16,216,704.10/3,785.51
  6. Step 6: Final answer
    x = 4,283.89

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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.