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Finding the Fourth Proportional to 3,878.66, 5,817.60 and 1,248.05

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Solution

The fourth proportional to 3,878.66, 5,817.60 and 1,248.05 is: 1,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.66 : 5,817.60 = 1,248.05 : x
  2. Step 2: Convert to fraction form
    3,878.66/5,817.60 = 1,248.05/x
  3. Step 3: Cross multiply
    3,878.66x = 5,817.60 × 1,248.05
  4. Step 4: Simplify right side
    3,878.66x = 7,260,670.22
  5. Step 5: Solve for x
    x = 7,260,670.22/3,878.66
  6. Step 6: Final answer
    x = 1,871.95

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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.