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Finding the Fourth Proportional to 6,272.66, 8,657.42 and 4,282.49

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Solution

The fourth proportional to 6,272.66, 8,657.42 and 4,282.49 is: 5,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.66 : 8,657.42 = 4,282.49 : x
  2. Step 2: Convert to fraction form
    6,272.66/8,657.42 = 4,282.49/x
  3. Step 3: Cross multiply
    6,272.66x = 8,657.42 × 4,282.49
  4. Step 4: Simplify right side
    6,272.66x = 37,075,314.81
  5. Step 5: Solve for x
    x = 37,075,314.81/6,272.66
  6. Step 6: Final answer
    x = 5,910.62

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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.