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Finding the Fourth Proportional to 3,625.70, 5,442.60 and 2,807.60

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Solution

The fourth proportional to 3,625.70, 5,442.60 and 2,807.60 is: 4,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.70 : 5,442.60 = 2,807.60 : x
  2. Step 2: Convert to fraction form
    3,625.70/5,442.60 = 2,807.60/x
  3. Step 3: Cross multiply
    3,625.70x = 5,442.60 × 2,807.60
  4. Step 4: Simplify right side
    3,625.70x = 15,280,643.76
  5. Step 5: Solve for x
    x = 15,280,643.76/3,625.70
  6. Step 6: Final answer
    x = 4,214.54

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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.