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Finding the Fourth Proportional to 3,502.02, 5,252.49 and 1,194.06

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Solution

The fourth proportional to 3,502.02, 5,252.49 and 1,194.06 is: 1,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.02 : 5,252.49 = 1,194.06 : x
  2. Step 2: Convert to fraction form
    3,502.02/5,252.49 = 1,194.06/x
  3. Step 3: Cross multiply
    3,502.02x = 5,252.49 × 1,194.06
  4. Step 4: Simplify right side
    3,502.02x = 6,271,788.21
  5. Step 5: Solve for x
    x = 6,271,788.21/3,502.02
  6. Step 6: Final answer
    x = 1,790.91

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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.