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Finding the Fourth Proportional to 4,533.68, 6,802.62 and 2,069.26

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Solution

The fourth proportional to 4,533.68, 6,802.62 and 2,069.26 is: 3,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.68 : 6,802.62 = 2,069.26 : x
  2. Step 2: Convert to fraction form
    4,533.68/6,802.62 = 2,069.26/x
  3. Step 3: Cross multiply
    4,533.68x = 6,802.62 × 2,069.26
  4. Step 4: Simplify right side
    4,533.68x = 14,076,371.53
  5. Step 5: Solve for x
    x = 14,076,371.53/4,533.68
  6. Step 6: Final answer
    x = 3,104.84

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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.