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Finding the Fourth Proportional to 6,280.25, 8,666.75 and 3,486.29

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Solution

The fourth proportional to 6,280.25, 8,666.75 and 3,486.29 is: 4,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.25 : 8,666.75 = 3,486.29 : x
  2. Step 2: Convert to fraction form
    6,280.25/8,666.75 = 3,486.29/x
  3. Step 3: Cross multiply
    6,280.25x = 8,666.75 × 3,486.29
  4. Step 4: Simplify right side
    6,280.25x = 30,214,786.43
  5. Step 5: Solve for x
    x = 30,214,786.43/6,280.25
  6. Step 6: Final answer
    x = 4,811.08

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