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Finding the Fourth Proportional to 5,788.52, 8,683.86 and 1,893.14

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Solution

The fourth proportional to 5,788.52, 8,683.86 and 1,893.14 is: 2,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.52 : 8,683.86 = 1,893.14 : x
  2. Step 2: Convert to fraction form
    5,788.52/8,683.86 = 1,893.14/x
  3. Step 3: Cross multiply
    5,788.52x = 8,683.86 × 1,893.14
  4. Step 4: Simplify right side
    5,788.52x = 16,439,762.72
  5. Step 5: Solve for x
    x = 16,439,762.72/5,788.52
  6. Step 6: Final answer
    x = 2,840.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.