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Finding the Fourth Proportional to 3,989.70, 5,980.86 and 2,037.60

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Solution

The fourth proportional to 3,989.70, 5,980.86 and 2,037.60 is: 3,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.70 : 5,980.86 = 2,037.60 : x
  2. Step 2: Convert to fraction form
    3,989.70/5,980.86 = 2,037.60/x
  3. Step 3: Cross multiply
    3,989.70x = 5,980.86 × 2,037.60
  4. Step 4: Simplify right side
    3,989.70x = 12,186,600.34
  5. Step 5: Solve for x
    x = 12,186,600.34/3,989.70
  6. Step 6: Final answer
    x = 3,054.52

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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.