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Finding the Fourth Proportional to 4,178.77, 5,766.31 and 2,410.03

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Solution

The fourth proportional to 4,178.77, 5,766.31 and 2,410.03 is: 3,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.77 : 5,766.31 = 2,410.03 : x
  2. Step 2: Convert to fraction form
    4,178.77/5,766.31 = 2,410.03/x
  3. Step 3: Cross multiply
    4,178.77x = 5,766.31 × 2,410.03
  4. Step 4: Simplify right side
    4,178.77x = 13,896,959.65
  5. Step 5: Solve for x
    x = 13,896,959.65/4,178.77
  6. Step 6: Final answer
    x = 3,325.61

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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.