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Finding the Fourth Proportional to 6,278.25, 8,664.26 and 3,483.75

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Solution

The fourth proportional to 6,278.25, 8,664.26 and 3,483.75 is: 4,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.25 : 8,664.26 = 3,483.75 : x
  2. Step 2: Convert to fraction form
    6,278.25/8,664.26 = 3,483.75/x
  3. Step 3: Cross multiply
    6,278.25x = 8,664.26 × 3,483.75
  4. Step 4: Simplify right side
    6,278.25x = 30,184,098.36
  5. Step 5: Solve for x
    x = 30,184,098.36/6,278.25
  6. Step 6: Final answer
    x = 4,807.72

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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.