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Finding the Fourth Proportional to 5,216.04, 7,198.17 and 2,978.01

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Solution

The fourth proportional to 5,216.04, 7,198.17 and 2,978.01 is: 4,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.04 : 7,198.17 = 2,978.01 : x
  2. Step 2: Convert to fraction form
    5,216.04/7,198.17 = 2,978.01/x
  3. Step 3: Cross multiply
    5,216.04x = 7,198.17 × 2,978.01
  4. Step 4: Simplify right side
    5,216.04x = 21,436,222.24
  5. Step 5: Solve for x
    x = 21,436,222.24/5,216.04
  6. Step 6: Final answer
    x = 4,109.67

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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.