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Finding the Fourth Proportional to 4,303.96, 6,447.40 and 2,838.68

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Solution

The fourth proportional to 4,303.96, 6,447.40 and 2,838.68 is: 4,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.96 : 6,447.40 = 2,838.68 : x
  2. Step 2: Convert to fraction form
    4,303.96/6,447.40 = 2,838.68/x
  3. Step 3: Cross multiply
    4,303.96x = 6,447.40 × 2,838.68
  4. Step 4: Simplify right side
    4,303.96x = 18,302,105.43
  5. Step 5: Solve for x
    x = 18,302,105.43/4,303.96
  6. Step 6: Final answer
    x = 4,252.39

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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.