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Finding the Fourth Proportional to 4,863.72, 7,295.64 and 1,401

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Solution

The fourth proportional to 4,863.72, 7,295.64 and 1,401 is: 2,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.72 : 7,295.64 = 1,401 : x
  2. Step 2: Convert to fraction form
    4,863.72/7,295.64 = 1,401/x
  3. Step 3: Cross multiply
    4,863.72x = 7,295.64 × 1,401
  4. Step 4: Simplify right side
    4,863.72x = 10,221,191.64
  5. Step 5: Solve for x
    x = 10,221,191.64/4,863.72
  6. Step 6: Final answer
    x = 2,101.52

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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.