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Finding the Fourth Proportional to 3,641, 5,024.58 and 2,069.20

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Solution

The fourth proportional to 3,641, 5,024.58 and 2,069.20 is: 2,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641 : 5,024.58 = 2,069.20 : x
  2. Step 2: Convert to fraction form
    3,641/5,024.58 = 2,069.20/x
  3. Step 3: Cross multiply
    3,641x = 5,024.58 × 2,069.20
  4. Step 4: Simplify right side
    3,641x = 10,396,835.81
  5. Step 5: Solve for x
    x = 10,396,835.81/3,641
  6. Step 6: Final answer
    x = 2,855.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.