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Finding the Fourth Proportional to 5,647.20, 7,787.85 and 3,657.06

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Solution

The fourth proportional to 5,647.20, 7,787.85 and 3,657.06 is: 5,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.20 : 7,787.85 = 3,657.06 : x
  2. Step 2: Convert to fraction form
    5,647.20/7,787.85 = 3,657.06/x
  3. Step 3: Cross multiply
    5,647.20x = 7,787.85 × 3,657.06
  4. Step 4: Simplify right side
    5,647.20x = 28,480,634.72
  5. Step 5: Solve for x
    x = 28,480,634.72/5,647.20
  6. Step 6: Final answer
    x = 5,043.32

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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.