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Finding the Fourth Proportional to 4,341.84, 5,991.78 and 2,352.44

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Solution

The fourth proportional to 4,341.84, 5,991.78 and 2,352.44 is: 3,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.84 : 5,991.78 = 2,352.44 : x
  2. Step 2: Convert to fraction form
    4,341.84/5,991.78 = 2,352.44/x
  3. Step 3: Cross multiply
    4,341.84x = 5,991.78 × 2,352.44
  4. Step 4: Simplify right side
    4,341.84x = 14,095,272.98
  5. Step 5: Solve for x
    x = 14,095,272.98/4,341.84
  6. Step 6: Final answer
    x = 3,246.38

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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.