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Finding the Fourth Proportional to 5,874.35, 8,099.10 and 4,283.30

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Solution

The fourth proportional to 5,874.35, 8,099.10 and 4,283.30 is: 5,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.35 : 8,099.10 = 4,283.30 : x
  2. Step 2: Convert to fraction form
    5,874.35/8,099.10 = 4,283.30/x
  3. Step 3: Cross multiply
    5,874.35x = 8,099.10 × 4,283.30
  4. Step 4: Simplify right side
    5,874.35x = 34,690,895.28
  5. Step 5: Solve for x
    x = 34,690,895.28/5,874.35
  6. Step 6: Final answer
    x = 5,905.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.