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Finding the Fourth Proportional to 4,205.54, 6,309.32 and 1,283.66

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Solution

The fourth proportional to 4,205.54, 6,309.32 and 1,283.66 is: 1,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.54 : 6,309.32 = 1,283.66 : x
  2. Step 2: Convert to fraction form
    4,205.54/6,309.32 = 1,283.66/x
  3. Step 3: Cross multiply
    4,205.54x = 6,309.32 × 1,283.66
  4. Step 4: Simplify right side
    4,205.54x = 8,099,021.71
  5. Step 5: Solve for x
    x = 8,099,021.71/4,205.54
  6. Step 6: Final answer
    x = 1,925.80

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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.