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Finding the Fourth Proportional to 3,504.96, 5,257.74 and 907.92

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Solution

The fourth proportional to 3,504.96, 5,257.74 and 907.92 is: 1,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.96 : 5,257.74 = 907.92 : x
  2. Step 2: Convert to fraction form
    3,504.96/5,257.74 = 907.92/x
  3. Step 3: Cross multiply
    3,504.96x = 5,257.74 × 907.92
  4. Step 4: Simplify right side
    3,504.96x = 4,773,607.30
  5. Step 5: Solve for x
    x = 4,773,607.30/3,504.96
  6. Step 6: Final answer
    x = 1,361.96

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1.5x scale

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.