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Finding the Fourth Proportional to 6,206.40, 8,563.99 and 3,687.59

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Solution

The fourth proportional to 6,206.40, 8,563.99 and 3,687.59 is: 5,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.40 : 8,563.99 = 3,687.59 : x
  2. Step 2: Convert to fraction form
    6,206.40/8,563.99 = 3,687.59/x
  3. Step 3: Cross multiply
    6,206.40x = 8,563.99 × 3,687.59
  4. Step 4: Simplify right side
    6,206.40x = 31,580,492.62
  5. Step 5: Solve for x
    x = 31,580,492.62/6,206.40
  6. Step 6: Final answer
    x = 5,088.38

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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.