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Finding the Fourth Proportional to 6,188.59, 9,284.80 and 2,028.63

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Solution

The fourth proportional to 6,188.59, 9,284.80 and 2,028.63 is: 3,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.59 : 9,284.80 = 2,028.63 : x
  2. Step 2: Convert to fraction form
    6,188.59/9,284.80 = 2,028.63/x
  3. Step 3: Cross multiply
    6,188.59x = 9,284.80 × 2,028.63
  4. Step 4: Simplify right side
    6,188.59x = 18,835,423.82
  5. Step 5: Solve for x
    x = 18,835,423.82/6,188.59
  6. Step 6: Final answer
    x = 3,043.57

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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.