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Finding the Fourth Proportional to 5,459.64, 8,189.48 and 1,355.64

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Solution

The fourth proportional to 5,459.64, 8,189.48 and 1,355.64 is: 2,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.64 : 8,189.48 = 1,355.64 : x
  2. Step 2: Convert to fraction form
    5,459.64/8,189.48 = 1,355.64/x
  3. Step 3: Cross multiply
    5,459.64x = 8,189.48 × 1,355.64
  4. Step 4: Simplify right side
    5,459.64x = 11,101,986.67
  5. Step 5: Solve for x
    x = 11,101,986.67/5,459.64
  6. Step 6: Final answer
    x = 2,033.46

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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.