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Finding the Fourth Proportional to 6,130.80, 9,190.80 and 3,666.60

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Solution

The fourth proportional to 6,130.80, 9,190.80 and 3,666.60 is: 5,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.80 : 9,190.80 = 3,666.60 : x
  2. Step 2: Convert to fraction form
    6,130.80/9,190.80 = 3,666.60/x
  3. Step 3: Cross multiply
    6,130.80x = 9,190.80 × 3,666.60
  4. Step 4: Simplify right side
    6,130.80x = 33,698,987.28
  5. Step 5: Solve for x
    x = 33,698,987.28/6,130.80
  6. Step 6: Final answer
    x = 5,496.67

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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.