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Finding the Fourth Proportional to 3,858.64, 5,787.36 and 1,085.02

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Solution

The fourth proportional to 3,858.64, 5,787.36 and 1,085.02 is: 1,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.64 : 5,787.36 = 1,085.02 : x
  2. Step 2: Convert to fraction form
    3,858.64/5,787.36 = 1,085.02/x
  3. Step 3: Cross multiply
    3,858.64x = 5,787.36 × 1,085.02
  4. Step 4: Simplify right side
    3,858.64x = 6,279,401.35
  5. Step 5: Solve for x
    x = 6,279,401.35/3,858.64
  6. Step 6: Final answer
    x = 1,627.36

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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.