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Finding the Fourth Proportional to 4,866.63, 7,305.14 and 2,094.67

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Solution

The fourth proportional to 4,866.63, 7,305.14 and 2,094.67 is: 3,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.63 : 7,305.14 = 2,094.67 : x
  2. Step 2: Convert to fraction form
    4,866.63/7,305.14 = 2,094.67/x
  3. Step 3: Cross multiply
    4,866.63x = 7,305.14 × 2,094.67
  4. Step 4: Simplify right side
    4,866.63x = 15,301,857.60
  5. Step 5: Solve for x
    x = 15,301,857.60/4,866.63
  6. Step 6: Final answer
    x = 3,144.24

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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.