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Finding the Fourth Proportional to 5,757.05, 8,636.83 and 1,861.40

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Solution

The fourth proportional to 5,757.05, 8,636.83 and 1,861.40 is: 2,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.05 : 8,636.83 = 1,861.40 : x
  2. Step 2: Convert to fraction form
    5,757.05/8,636.83 = 1,861.40/x
  3. Step 3: Cross multiply
    5,757.05x = 8,636.83 × 1,861.40
  4. Step 4: Simplify right side
    5,757.05x = 16,076,547.52
  5. Step 5: Solve for x
    x = 16,076,547.52/5,757.05
  6. Step 6: Final answer
    x = 2,792.50

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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.