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Finding the Fourth Proportional to 4,191.97, 5,785.02 and 2,303.54

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Solution

The fourth proportional to 4,191.97, 5,785.02 and 2,303.54 is: 3,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.97 : 5,785.02 = 2,303.54 : x
  2. Step 2: Convert to fraction form
    4,191.97/5,785.02 = 2,303.54/x
  3. Step 3: Cross multiply
    4,191.97x = 5,785.02 × 2,303.54
  4. Step 4: Simplify right side
    4,191.97x = 13,325,996.05
  5. Step 5: Solve for x
    x = 13,325,996.05/4,191.97
  6. Step 6: Final answer
    x = 3,178.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.