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Finding the Fourth Proportional to 5,354.19, 8,032.37 and 1,893.87

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Solution

The fourth proportional to 5,354.19, 8,032.37 and 1,893.87 is: 2,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.19 : 8,032.37 = 1,893.87 : x
  2. Step 2: Convert to fraction form
    5,354.19/8,032.37 = 1,893.87/x
  3. Step 3: Cross multiply
    5,354.19x = 8,032.37 × 1,893.87
  4. Step 4: Simplify right side
    5,354.19x = 15,212,255.10
  5. Step 5: Solve for x
    x = 15,212,255.10/5,354.19
  6. Step 6: Final answer
    x = 2,841.19

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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.