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Finding the Fourth Proportional to 3,904.61, 5,388.53 and 2,411.37

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Solution

The fourth proportional to 3,904.61, 5,388.53 and 2,411.37 is: 3,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.61 : 5,388.53 = 2,411.37 : x
  2. Step 2: Convert to fraction form
    3,904.61/5,388.53 = 2,411.37/x
  3. Step 3: Cross multiply
    3,904.61x = 5,388.53 × 2,411.37
  4. Step 4: Simplify right side
    3,904.61x = 12,993,727.53
  5. Step 5: Solve for x
    x = 12,993,727.53/3,904.61
  6. Step 6: Final answer
    x = 3,327.80

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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.