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Finding the Fourth Proportional to 4,297.95, 6,447.87 and 1,376.25

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Solution

The fourth proportional to 4,297.95, 6,447.87 and 1,376.25 is: 2,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.95 : 6,447.87 = 1,376.25 : x
  2. Step 2: Convert to fraction form
    4,297.95/6,447.87 = 1,376.25/x
  3. Step 3: Cross multiply
    4,297.95x = 6,447.87 × 1,376.25
  4. Step 4: Simplify right side
    4,297.95x = 8,873,881.09
  5. Step 5: Solve for x
    x = 8,873,881.09/4,297.95
  6. Step 6: Final answer
    x = 2,064.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.