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Finding the Fourth Proportional to 3,598.36, 5,396.16 and 1,406.86

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Solution

The fourth proportional to 3,598.36, 5,396.16 and 1,406.86 is: 2,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.36 : 5,396.16 = 1,406.86 : x
  2. Step 2: Convert to fraction form
    3,598.36/5,396.16 = 1,406.86/x
  3. Step 3: Cross multiply
    3,598.36x = 5,396.16 × 1,406.86
  4. Step 4: Simplify right side
    3,598.36x = 7,591,641.66
  5. Step 5: Solve for x
    x = 7,591,641.66/3,598.36
  6. Step 6: Final answer
    x = 2,109.75

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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.