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Finding the Fourth Proportional to 3,504.78, 5,257.14 and 907.50

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Solution

The fourth proportional to 3,504.78, 5,257.14 and 907.50 is: 1,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.78 : 5,257.14 = 907.50 : x
  2. Step 2: Convert to fraction form
    3,504.78/5,257.14 = 907.50/x
  3. Step 3: Cross multiply
    3,504.78x = 5,257.14 × 907.50
  4. Step 4: Simplify right side
    3,504.78x = 4,770,854.55
  5. Step 5: Solve for x
    x = 4,770,854.55/3,504.78
  6. Step 6: Final answer
    x = 1,361.24

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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.