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Finding the Fourth Proportional to 4,263, 5,883.48 and 2,400

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Solution

The fourth proportional to 4,263, 5,883.48 and 2,400 is: 3,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263 : 5,883.48 = 2,400 : x
  2. Step 2: Convert to fraction form
    4,263/5,883.48 = 2,400/x
  3. Step 3: Cross multiply
    4,263x = 5,883.48 × 2,400
  4. Step 4: Simplify right side
    4,263x = 14,120,352.00
  5. Step 5: Solve for x
    x = 14,120,352.00/4,263
  6. Step 6: Final answer
    x = 3,312.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.