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Finding the Fourth Proportional to 5,787.75, 8,683.08 and 1,683.75

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Solution

The fourth proportional to 5,787.75, 8,683.08 and 1,683.75 is: 2,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.75 : 8,683.08 = 1,683.75 : x
  2. Step 2: Convert to fraction form
    5,787.75/8,683.08 = 1,683.75/x
  3. Step 3: Cross multiply
    5,787.75x = 8,683.08 × 1,683.75
  4. Step 4: Simplify right side
    5,787.75x = 14,620,135.95
  5. Step 5: Solve for x
    x = 14,620,135.95/5,787.75
  6. Step 6: Final answer
    x = 2,526.05

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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.