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Finding the Fourth Proportional to 5,504.82, 8,254.74 and 3,284.67

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Solution

The fourth proportional to 5,504.82, 8,254.74 and 3,284.67 is: 4,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.82 : 8,254.74 = 3,284.67 : x
  2. Step 2: Convert to fraction form
    5,504.82/8,254.74 = 3,284.67/x
  3. Step 3: Cross multiply
    5,504.82x = 8,254.74 × 3,284.67
  4. Step 4: Simplify right side
    5,504.82x = 27,114,096.84
  5. Step 5: Solve for x
    x = 27,114,096.84/5,504.82
  6. Step 6: Final answer
    x = 4,925.52

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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.