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Finding the Fourth Proportional to 3,647.61, 5,470.03 and 1,181.77

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Solution

The fourth proportional to 3,647.61, 5,470.03 and 1,181.77 is: 1,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.61 : 5,470.03 = 1,181.77 : x
  2. Step 2: Convert to fraction form
    3,647.61/5,470.03 = 1,181.77/x
  3. Step 3: Cross multiply
    3,647.61x = 5,470.03 × 1,181.77
  4. Step 4: Simplify right side
    3,647.61x = 6,464,317.35
  5. Step 5: Solve for x
    x = 6,464,317.35/3,647.61
  6. Step 6: Final answer
    x = 1,772.21

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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.