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Finding the Fourth Proportional to 3,712.64, 5,564.94 and 1,490.60

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Solution

The fourth proportional to 3,712.64, 5,564.94 and 1,490.60 is: 2,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.64 : 5,564.94 = 1,490.60 : x
  2. Step 2: Convert to fraction form
    3,712.64/5,564.94 = 1,490.60/x
  3. Step 3: Cross multiply
    3,712.64x = 5,564.94 × 1,490.60
  4. Step 4: Simplify right side
    3,712.64x = 8,295,099.56
  5. Step 5: Solve for x
    x = 8,295,099.56/3,712.64
  6. Step 6: Final answer
    x = 2,234.29

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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.