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Finding the Fourth Proportional to 4,522.48, 6,765 and 4,246

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Solution

The fourth proportional to 4,522.48, 6,765 and 4,246 is: 6,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.48 : 6,765 = 4,246 : x
  2. Step 2: Convert to fraction form
    4,522.48/6,765 = 4,246/x
  3. Step 3: Cross multiply
    4,522.48x = 6,765 × 4,246
  4. Step 4: Simplify right side
    4,522.48x = 28,724,190
  5. Step 5: Solve for x
    x = 28,724,190/4,522.48
  6. Step 6: Final answer
    x = 6,351.42

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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.