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Finding the Fourth Proportional to 5,771.49, 8,649.03 and 4,215.07

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Solution

The fourth proportional to 5,771.49, 8,649.03 and 4,215.07 is: 6,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.49 : 8,649.03 = 4,215.07 : x
  2. Step 2: Convert to fraction form
    5,771.49/8,649.03 = 4,215.07/x
  3. Step 3: Cross multiply
    5,771.49x = 8,649.03 × 4,215.07
  4. Step 4: Simplify right side
    5,771.49x = 36,456,269.79
  5. Step 5: Solve for x
    x = 36,456,269.79/5,771.49
  6. Step 6: Final answer
    x = 6,316.62

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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.