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Finding the Fourth Proportional to 7,241.32, 10,855.32 and 2,557.90

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Solution

The fourth proportional to 7,241.32, 10,855.32 and 2,557.90 is: 3,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.32 : 10,855.32 = 2,557.90 : x
  2. Step 2: Convert to fraction form
    7,241.32/10,855.32 = 2,557.90/x
  3. Step 3: Cross multiply
    7,241.32x = 10,855.32 × 2,557.90
  4. Step 4: Simplify right side
    7,241.32x = 27,766,823.03
  5. Step 5: Solve for x
    x = 27,766,823.03/7,241.32
  6. Step 6: Final answer
    x = 3,834.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.