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Finding the Fourth Proportional to 4,533.68, 6,800.52 and 2,069.30

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Solution

The fourth proportional to 4,533.68, 6,800.52 and 2,069.30 is: 3,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.68 : 6,800.52 = 2,069.30 : x
  2. Step 2: Convert to fraction form
    4,533.68/6,800.52 = 2,069.30/x
  3. Step 3: Cross multiply
    4,533.68x = 6,800.52 × 2,069.30
  4. Step 4: Simplify right side
    4,533.68x = 14,072,316.04
  5. Step 5: Solve for x
    x = 14,072,316.04/4,533.68
  6. Step 6: Final answer
    x = 3,103.95

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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.