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Finding the Fourth Proportional to 5,798.14, 8,001.56 and 3,409.85

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Solution

The fourth proportional to 5,798.14, 8,001.56 and 3,409.85 is: 4,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.14 : 8,001.56 = 3,409.85 : x
  2. Step 2: Convert to fraction form
    5,798.14/8,001.56 = 3,409.85/x
  3. Step 3: Cross multiply
    5,798.14x = 8,001.56 × 3,409.85
  4. Step 4: Simplify right side
    5,798.14x = 27,284,147.89
  5. Step 5: Solve for x
    x = 27,284,147.89/5,798.14
  6. Step 6: Final answer
    x = 4,705.67

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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.