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Finding the Fourth Proportional to 4,336.54, 5,984.38 and 2,347.05

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Solution

The fourth proportional to 4,336.54, 5,984.38 and 2,347.05 is: 3,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.54 : 5,984.38 = 2,347.05 : x
  2. Step 2: Convert to fraction form
    4,336.54/5,984.38 = 2,347.05/x
  3. Step 3: Cross multiply
    4,336.54x = 5,984.38 × 2,347.05
  4. Step 4: Simplify right side
    4,336.54x = 14,045,633.21
  5. Step 5: Solve for x
    x = 14,045,633.21/4,336.54
  6. Step 6: Final answer
    x = 3,238.91

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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.