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Finding the Fourth Proportional to 3,504.87, 5,257.67 and 907.83

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Solution

The fourth proportional to 3,504.87, 5,257.67 and 907.83 is: 1,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.87 : 5,257.67 = 907.83 : x
  2. Step 2: Convert to fraction form
    3,504.87/5,257.67 = 907.83/x
  3. Step 3: Cross multiply
    3,504.87x = 5,257.67 × 907.83
  4. Step 4: Simplify right side
    3,504.87x = 4,773,066.02
  5. Step 5: Solve for x
    x = 4,773,066.02/3,504.87
  6. Step 6: Final answer
    x = 1,361.84

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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.