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Finding the Fourth Proportional to 5,357.14, 8,038.14 and 2,760.28

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Solution

The fourth proportional to 5,357.14, 8,038.14 and 2,760.28 is: 4,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.14 : 8,038.14 = 2,760.28 : x
  2. Step 2: Convert to fraction form
    5,357.14/8,038.14 = 2,760.28/x
  3. Step 3: Cross multiply
    5,357.14x = 8,038.14 × 2,760.28
  4. Step 4: Simplify right side
    5,357.14x = 22,187,517.08
  5. Step 5: Solve for x
    x = 22,187,517.08/5,357.14
  6. Step 6: Final answer
    x = 4,141.67

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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.