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Finding the Fourth Proportional to 5,113.64, 7,671.46 and 1,993.52

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Solution

The fourth proportional to 5,113.64, 7,671.46 and 1,993.52 is: 2,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.64 : 7,671.46 = 1,993.52 : x
  2. Step 2: Convert to fraction form
    5,113.64/7,671.46 = 1,993.52/x
  3. Step 3: Cross multiply
    5,113.64x = 7,671.46 × 1,993.52
  4. Step 4: Simplify right side
    5,113.64x = 15,293,208.94
  5. Step 5: Solve for x
    x = 15,293,208.94/5,113.64
  6. Step 6: Final answer
    x = 2,990.67

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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.