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Finding the Fourth Proportional to 3,245.09, 4,871.82 and 2,785.82

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Solution

The fourth proportional to 3,245.09, 4,871.82 and 2,785.82 is: 4,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.09 : 4,871.82 = 2,785.82 : x
  2. Step 2: Convert to fraction form
    3,245.09/4,871.82 = 2,785.82/x
  3. Step 3: Cross multiply
    3,245.09x = 4,871.82 × 2,785.82
  4. Step 4: Simplify right side
    3,245.09x = 13,572,013.59
  5. Step 5: Solve for x
    x = 13,572,013.59/3,245.09
  6. Step 6: Final answer
    x = 4,182.32

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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.