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Finding the Fourth Proportional to 5,354.58, 8,033.05 and 1,606.21

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Solution

The fourth proportional to 5,354.58, 8,033.05 and 1,606.21 is: 2,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.58 : 8,033.05 = 1,606.21 : x
  2. Step 2: Convert to fraction form
    5,354.58/8,033.05 = 1,606.21/x
  3. Step 3: Cross multiply
    5,354.58x = 8,033.05 × 1,606.21
  4. Step 4: Simplify right side
    5,354.58x = 12,902,741.14
  5. Step 5: Solve for x
    x = 12,902,741.14/5,354.58
  6. Step 6: Final answer
    x = 2,409.66

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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.