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Finding the Fourth Proportional to 5,459.68, 8,189.54 and 2,339.44

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Solution

The fourth proportional to 5,459.68, 8,189.54 and 2,339.44 is: 3,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.68 : 8,189.54 = 2,339.44 : x
  2. Step 2: Convert to fraction form
    5,459.68/8,189.54 = 2,339.44/x
  3. Step 3: Cross multiply
    5,459.68x = 8,189.54 × 2,339.44
  4. Step 4: Simplify right side
    5,459.68x = 19,158,937.46
  5. Step 5: Solve for x
    x = 19,158,937.46/5,459.68
  6. Step 6: Final answer
    x = 3,509.17

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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.