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Finding the Fourth Proportional to 4,347.38, 5,999.39 and 2,357.94

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Solution

The fourth proportional to 4,347.38, 5,999.39 and 2,357.94 is: 3,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.38 : 5,999.39 = 2,357.94 : x
  2. Step 2: Convert to fraction form
    4,347.38/5,999.39 = 2,357.94/x
  3. Step 3: Cross multiply
    4,347.38x = 5,999.39 × 2,357.94
  4. Step 4: Simplify right side
    4,347.38x = 14,146,201.66
  5. Step 5: Solve for x
    x = 14,146,201.66/4,347.38
  6. Step 6: Final answer
    x = 3,253.96

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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.