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Finding the Fourth Proportional to 3,887.42, 5,827.93 and 1,546.41

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Solution

The fourth proportional to 3,887.42, 5,827.93 and 1,546.41 is: 2,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.42 : 5,827.93 = 1,546.41 : x
  2. Step 2: Convert to fraction form
    3,887.42/5,827.93 = 1,546.41/x
  3. Step 3: Cross multiply
    3,887.42x = 5,827.93 × 1,546.41
  4. Step 4: Simplify right side
    3,887.42x = 9,012,387.22
  5. Step 5: Solve for x
    x = 9,012,387.22/3,887.42
  6. Step 6: Final answer
    x = 2,318.35

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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.