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Finding the Fourth Proportional to 3,948.90, 5,923.53 and 2,004.90

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Solution

The fourth proportional to 3,948.90, 5,923.53 and 2,004.90 is: 3,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.90 : 5,923.53 = 2,004.90 : x
  2. Step 2: Convert to fraction form
    3,948.90/5,923.53 = 2,004.90/x
  3. Step 3: Cross multiply
    3,948.90x = 5,923.53 × 2,004.90
  4. Step 4: Simplify right side
    3,948.90x = 11,876,085.30
  5. Step 5: Solve for x
    x = 11,876,085.30/3,948.90
  6. Step 6: Final answer
    x = 3,007.44

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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.