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Finding the Fourth Proportional to 3,887.13, 5,827.02 and 1,548.58

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Solution

The fourth proportional to 3,887.13, 5,827.02 and 1,548.58 is: 2,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.13 : 5,827.02 = 1,548.58 : x
  2. Step 2: Convert to fraction form
    3,887.13/5,827.02 = 1,548.58/x
  3. Step 3: Cross multiply
    3,887.13x = 5,827.02 × 1,548.58
  4. Step 4: Simplify right side
    3,887.13x = 9,023,569.75
  5. Step 5: Solve for x
    x = 9,023,569.75/3,887.13
  6. Step 6: Final answer
    x = 2,321.40

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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.