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Finding the Fourth Proportional to 3,596.64, 5,389.05 and 1,404.18

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Solution

The fourth proportional to 3,596.64, 5,389.05 and 1,404.18 is: 2,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.64 : 5,389.05 = 1,404.18 : x
  2. Step 2: Convert to fraction form
    3,596.64/5,389.05 = 1,404.18/x
  3. Step 3: Cross multiply
    3,596.64x = 5,389.05 × 1,404.18
  4. Step 4: Simplify right side
    3,596.64x = 7,567,196.23
  5. Step 5: Solve for x
    x = 7,567,196.23/3,596.64
  6. Step 6: Final answer
    x = 2,103.96

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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.