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Finding the Fourth Proportional to 5,884.08, 8,138.06 and 5,785.67

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Solution

The fourth proportional to 5,884.08, 8,138.06 and 5,785.67 is: 8,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.08 : 8,138.06 = 5,785.67 : x
  2. Step 2: Convert to fraction form
    5,884.08/8,138.06 = 5,785.67/x
  3. Step 3: Cross multiply
    5,884.08x = 8,138.06 × 5,785.67
  4. Step 4: Simplify right side
    5,884.08x = 47,084,059.98
  5. Step 5: Solve for x
    x = 47,084,059.98/5,884.08
  6. Step 6: Final answer
    x = 8,001.94

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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.