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Finding the Fourth Proportional to 3,876.13, 5,814.23 and 954.44

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Solution

The fourth proportional to 3,876.13, 5,814.23 and 954.44 is: 1,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.13 : 5,814.23 = 954.44 : x
  2. Step 2: Convert to fraction form
    3,876.13/5,814.23 = 954.44/x
  3. Step 3: Cross multiply
    3,876.13x = 5,814.23 × 954.44
  4. Step 4: Simplify right side
    3,876.13x = 5,549,331.10
  5. Step 5: Solve for x
    x = 5,549,331.10/3,876.13
  6. Step 6: Final answer
    x = 1,431.67

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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.