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Finding the Fourth Proportional to 3,878.82, 5,807.58 and 2,710

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Solution

The fourth proportional to 3,878.82, 5,807.58 and 2,710 is: 4,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.82 : 5,807.58 = 2,710 : x
  2. Step 2: Convert to fraction form
    3,878.82/5,807.58 = 2,710/x
  3. Step 3: Cross multiply
    3,878.82x = 5,807.58 × 2,710
  4. Step 4: Simplify right side
    3,878.82x = 15,738,541.80
  5. Step 5: Solve for x
    x = 15,738,541.80/3,878.82
  6. Step 6: Final answer
    x = 4,057.56

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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.