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Finding the Fourth Proportional to 3,705.90, 5,557.77 and 1,396.86

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Solution

The fourth proportional to 3,705.90, 5,557.77 and 1,396.86 is: 2,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.90 : 5,557.77 = 1,396.86 : x
  2. Step 2: Convert to fraction form
    3,705.90/5,557.77 = 1,396.86/x
  3. Step 3: Cross multiply
    3,705.90x = 5,557.77 × 1,396.86
  4. Step 4: Simplify right side
    3,705.90x = 7,763,426.60
  5. Step 5: Solve for x
    x = 7,763,426.60/3,705.90
  6. Step 6: Final answer
    x = 2,094.88

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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.