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Finding the Fourth Proportional to 4,533.80, 6,801.42 and 2,069.48

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Solution

The fourth proportional to 4,533.80, 6,801.42 and 2,069.48 is: 3,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.80 : 6,801.42 = 2,069.48 : x
  2. Step 2: Convert to fraction form
    4,533.80/6,801.42 = 2,069.48/x
  3. Step 3: Cross multiply
    4,533.80x = 6,801.42 × 2,069.48
  4. Step 4: Simplify right side
    4,533.80x = 14,075,402.66
  5. Step 5: Solve for x
    x = 14,075,402.66/4,533.80
  6. Step 6: Final answer
    x = 3,104.55

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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.