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Finding the Fourth Proportional to 3,598.64, 5,396.76 and 1,406.80

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Solution

The fourth proportional to 3,598.64, 5,396.76 and 1,406.80 is: 2,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.64 : 5,396.76 = 1,406.80 : x
  2. Step 2: Convert to fraction form
    3,598.64/5,396.76 = 1,406.80/x
  3. Step 3: Cross multiply
    3,598.64x = 5,396.76 × 1,406.80
  4. Step 4: Simplify right side
    3,598.64x = 7,592,161.97
  5. Step 5: Solve for x
    x = 7,592,161.97/3,598.64
  6. Step 6: Final answer
    x = 2,109.73

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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.