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Finding the Fourth Proportional to 5,959.71, 8,222.36 and 3,405.63

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Solution

The fourth proportional to 5,959.71, 8,222.36 and 3,405.63 is: 4,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.71 : 8,222.36 = 3,405.63 : x
  2. Step 2: Convert to fraction form
    5,959.71/8,222.36 = 3,405.63/x
  3. Step 3: Cross multiply
    5,959.71x = 8,222.36 × 3,405.63
  4. Step 4: Simplify right side
    5,959.71x = 28,002,298.86
  5. Step 5: Solve for x
    x = 28,002,298.86/5,959.71
  6. Step 6: Final answer
    x = 4,698.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.