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Finding the Fourth Proportional to 4,394.67, 6,592 and 3,225.84

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Solution

The fourth proportional to 4,394.67, 6,592 and 3,225.84 is: 4,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.67 : 6,592 = 3,225.84 : x
  2. Step 2: Convert to fraction form
    4,394.67/6,592 = 3,225.84/x
  3. Step 3: Cross multiply
    4,394.67x = 6,592 × 3,225.84
  4. Step 4: Simplify right side
    4,394.67x = 21,264,737.28
  5. Step 5: Solve for x
    x = 21,264,737.28/4,394.67
  6. Step 6: Final answer
    x = 4,838.76

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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.