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Finding the Fourth Proportional to 4,205.63, 6,309.43 and 1,283.93

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Solution

The fourth proportional to 4,205.63, 6,309.43 and 1,283.93 is: 1,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.63 : 6,309.43 = 1,283.93 : x
  2. Step 2: Convert to fraction form
    4,205.63/6,309.43 = 1,283.93/x
  3. Step 3: Cross multiply
    4,205.63x = 6,309.43 × 1,283.93
  4. Step 4: Simplify right side
    4,205.63x = 8,100,879.02
  5. Step 5: Solve for x
    x = 8,100,879.02/4,205.63
  6. Step 6: Final answer
    x = 1,926.20

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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.