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Finding the Fourth Proportional to 3,794.00, 5,690.98 and 1,020.45

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Solution

The fourth proportional to 3,794.00, 5,690.98 and 1,020.45 is: 1,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.00 : 5,690.98 = 1,020.45 : x
  2. Step 2: Convert to fraction form
    3,794.00/5,690.98 = 1,020.45/x
  3. Step 3: Cross multiply
    3,794.00x = 5,690.98 × 1,020.45
  4. Step 4: Simplify right side
    3,794.00x = 5,807,354.02
  5. Step 5: Solve for x
    x = 5,807,354.02/3,794.00
  6. Step 6: Final answer
    x = 1,530.67

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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.