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Finding the Fourth Proportional to 3,651.83, 5,473.04 and 3,181.40

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Solution

The fourth proportional to 3,651.83, 5,473.04 and 3,181.40 is: 4,768.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.83 : 5,473.04 = 3,181.40 : x
  2. Step 2: Convert to fraction form
    3,651.83/5,473.04 = 3,181.40/x
  3. Step 3: Cross multiply
    3,651.83x = 5,473.04 × 3,181.40
  4. Step 4: Simplify right side
    3,651.83x = 17,411,886.18
  5. Step 5: Solve for x
    x = 17,411,886.18/3,651.83
  6. Step 6: Final answer
    x = 4,768.00

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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.