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Finding the Fourth Proportional to 4,284.47, 6,408.93 and 4,022.03

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Solution

The fourth proportional to 4,284.47, 6,408.93 and 4,022.03 is: 6,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.47 : 6,408.93 = 4,022.03 : x
  2. Step 2: Convert to fraction form
    4,284.47/6,408.93 = 4,022.03/x
  3. Step 3: Cross multiply
    4,284.47x = 6,408.93 × 4,022.03
  4. Step 4: Simplify right side
    4,284.47x = 25,776,856.57
  5. Step 5: Solve for x
    x = 25,776,856.57/4,284.47
  6. Step 6: Final answer
    x = 6,016.35

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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.