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Finding the Fourth Proportional to 4,533.54, 6,802.02 and 3,086.34

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Solution

The fourth proportional to 4,533.54, 6,802.02 and 3,086.34 is: 4,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.54 : 6,802.02 = 3,086.34 : x
  2. Step 2: Convert to fraction form
    4,533.54/6,802.02 = 3,086.34/x
  3. Step 3: Cross multiply
    4,533.54x = 6,802.02 × 3,086.34
  4. Step 4: Simplify right side
    4,533.54x = 20,993,346.41
  5. Step 5: Solve for x
    x = 20,993,346.41/4,533.54
  6. Step 6: Final answer
    x = 4,630.67

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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.