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Finding the Fourth Proportional to 5,321.64, 7,975.16 and 3,370.34

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Solution

The fourth proportional to 5,321.64, 7,975.16 and 3,370.34 is: 5,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.64 : 7,975.16 = 3,370.34 : x
  2. Step 2: Convert to fraction form
    5,321.64/7,975.16 = 3,370.34/x
  3. Step 3: Cross multiply
    5,321.64x = 7,975.16 × 3,370.34
  4. Step 4: Simplify right side
    5,321.64x = 26,879,000.75
  5. Step 5: Solve for x
    x = 26,879,000.75/5,321.64
  6. Step 6: Final answer
    x = 5,050.89

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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.