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Finding the Fourth Proportional to 3,905.38, 5,858.07 and 1,596.88

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Solution

The fourth proportional to 3,905.38, 5,858.07 and 1,596.88 is: 2,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.38 : 5,858.07 = 1,596.88 : x
  2. Step 2: Convert to fraction form
    3,905.38/5,858.07 = 1,596.88/x
  3. Step 3: Cross multiply
    3,905.38x = 5,858.07 × 1,596.88
  4. Step 4: Simplify right side
    3,905.38x = 9,354,605.53
  5. Step 5: Solve for x
    x = 9,354,605.53/3,905.38
  6. Step 6: Final answer
    x = 2,395.32

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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.