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Finding the Fourth Proportional to 5,059.56, 6,982.74 and 3,070.20

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Solution

The fourth proportional to 5,059.56, 6,982.74 and 3,070.20 is: 4,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.56 : 6,982.74 = 3,070.20 : x
  2. Step 2: Convert to fraction form
    5,059.56/6,982.74 = 3,070.20/x
  3. Step 3: Cross multiply
    5,059.56x = 6,982.74 × 3,070.20
  4. Step 4: Simplify right side
    5,059.56x = 21,438,408.35
  5. Step 5: Solve for x
    x = 21,438,408.35/5,059.56
  6. Step 6: Final answer
    x = 4,237.21

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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.