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Finding the Fourth Proportional to 3,504.85, 5,259.12 and 1,557.25

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Solution

The fourth proportional to 3,504.85, 5,259.12 and 1,557.25 is: 2,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.85 : 5,259.12 = 1,557.25 : x
  2. Step 2: Convert to fraction form
    3,504.85/5,259.12 = 1,557.25/x
  3. Step 3: Cross multiply
    3,504.85x = 5,259.12 × 1,557.25
  4. Step 4: Simplify right side
    3,504.85x = 8,189,764.62
  5. Step 5: Solve for x
    x = 8,189,764.62/3,504.85
  6. Step 6: Final answer
    x = 2,336.69

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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.