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Finding the Fourth Proportional to 3,647.00, 5,473.14 and 1,456.35

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Solution

The fourth proportional to 3,647.00, 5,473.14 and 1,456.35 is: 2,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.00 : 5,473.14 = 1,456.35 : x
  2. Step 2: Convert to fraction form
    3,647.00/5,473.14 = 1,456.35/x
  3. Step 3: Cross multiply
    3,647.00x = 5,473.14 × 1,456.35
  4. Step 4: Simplify right side
    3,647.00x = 7,970,807.44
  5. Step 5: Solve for x
    x = 7,970,807.44/3,647.00
  6. Step 6: Final answer
    x = 2,185.58

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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.