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Finding the Fourth Proportional to 6,003.84, 8,284.20 and 3,486.24

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Solution

The fourth proportional to 6,003.84, 8,284.20 and 3,486.24 is: 4,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.84 : 8,284.20 = 3,486.24 : x
  2. Step 2: Convert to fraction form
    6,003.84/8,284.20 = 3,486.24/x
  3. Step 3: Cross multiply
    6,003.84x = 8,284.20 × 3,486.24
  4. Step 4: Simplify right side
    6,003.84x = 28,880,709.41
  5. Step 5: Solve for x
    x = 28,880,709.41/6,003.84
  6. Step 6: Final answer
    x = 4,810.37

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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.