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Finding the Fourth Proportional to 5,732.75, 7,907.84 and 3,604.91

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Solution

The fourth proportional to 5,732.75, 7,907.84 and 3,604.91 is: 4,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.75 : 7,907.84 = 3,604.91 : x
  2. Step 2: Convert to fraction form
    5,732.75/7,907.84 = 3,604.91/x
  3. Step 3: Cross multiply
    5,732.75x = 7,907.84 × 3,604.91
  4. Step 4: Simplify right side
    5,732.75x = 28,507,051.49
  5. Step 5: Solve for x
    x = 28,507,051.49/5,732.75
  6. Step 6: Final answer
    x = 4,972.66

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1.5x scale

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.