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Finding the Fourth Proportional to 5,980.14, 8,970.03 and 2,084.49

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Solution

The fourth proportional to 5,980.14, 8,970.03 and 2,084.49 is: 3,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.14 : 8,970.03 = 2,084.49 : x
  2. Step 2: Convert to fraction form
    5,980.14/8,970.03 = 2,084.49/x
  3. Step 3: Cross multiply
    5,980.14x = 8,970.03 × 2,084.49
  4. Step 4: Simplify right side
    5,980.14x = 18,697,937.83
  5. Step 5: Solve for x
    x = 18,697,937.83/5,980.14
  6. Step 6: Final answer
    x = 3,126.67

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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.