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Finding the Fourth Proportional to 3,598.16, 5,394.03 and 1,406.39

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Solution

The fourth proportional to 3,598.16, 5,394.03 and 1,406.39 is: 2,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.16 : 5,394.03 = 1,406.39 : x
  2. Step 2: Convert to fraction form
    3,598.16/5,394.03 = 1,406.39/x
  3. Step 3: Cross multiply
    3,598.16x = 5,394.03 × 1,406.39
  4. Step 4: Simplify right side
    3,598.16x = 7,586,109.85
  5. Step 5: Solve for x
    x = 7,586,109.85/3,598.16
  6. Step 6: Final answer
    x = 2,108.33

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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.