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Finding the Fourth Proportional to 5,346.71, 8,014.50 and 2,012.67

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Solution

The fourth proportional to 5,346.71, 8,014.50 and 2,012.67 is: 3,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.71 : 8,014.50 = 2,012.67 : x
  2. Step 2: Convert to fraction form
    5,346.71/8,014.50 = 2,012.67/x
  3. Step 3: Cross multiply
    5,346.71x = 8,014.50 × 2,012.67
  4. Step 4: Simplify right side
    5,346.71x = 16,130,533.65
  5. Step 5: Solve for x
    x = 16,130,533.65/5,346.71
  6. Step 6: Final answer
    x = 3,016.91

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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.