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Finding the Fourth Proportional to 5,787.86, 8,683.16 and 1,892.25

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Solution

The fourth proportional to 5,787.86, 8,683.16 and 1,892.25 is: 2,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.86 : 8,683.16 = 1,892.25 : x
  2. Step 2: Convert to fraction form
    5,787.86/8,683.16 = 1,892.25/x
  3. Step 3: Cross multiply
    5,787.86x = 8,683.16 × 1,892.25
  4. Step 4: Simplify right side
    5,787.86x = 16,430,700.05
  5. Step 5: Solve for x
    x = 16,430,700.05/5,787.86
  6. Step 6: Final answer
    x = 2,838.82

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1.5x scale

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.