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Finding the Fourth Proportional to 5,459.80, 8,189.70 and 5,338.30

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Solution

The fourth proportional to 5,459.80, 8,189.70 and 5,338.30 is: 8,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.80 : 8,189.70 = 5,338.30 : x
  2. Step 2: Convert to fraction form
    5,459.80/8,189.70 = 5,338.30/x
  3. Step 3: Cross multiply
    5,459.80x = 8,189.70 × 5,338.30
  4. Step 4: Simplify right side
    5,459.80x = 43,719,075.51
  5. Step 5: Solve for x
    x = 43,719,075.51/5,459.80
  6. Step 6: Final answer
    x = 8,007.45

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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.