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Finding the Fourth Proportional to 4,184.67, 6,277.03 and 1,064.67

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Solution

The fourth proportional to 4,184.67, 6,277.03 and 1,064.67 is: 1,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.67 : 6,277.03 = 1,064.67 : x
  2. Step 2: Convert to fraction form
    4,184.67/6,277.03 = 1,064.67/x
  3. Step 3: Cross multiply
    4,184.67x = 6,277.03 × 1,064.67
  4. Step 4: Simplify right side
    4,184.67x = 6,682,992.40
  5. Step 5: Solve for x
    x = 6,682,992.40/4,184.67
  6. Step 6: Final answer
    x = 1,597.02

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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.