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Finding the Fourth Proportional to 4,219.84, 6,329.74 and 1,446.52

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Solution

The fourth proportional to 4,219.84, 6,329.74 and 1,446.52 is: 2,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.84 : 6,329.74 = 1,446.52 : x
  2. Step 2: Convert to fraction form
    4,219.84/6,329.74 = 1,446.52/x
  3. Step 3: Cross multiply
    4,219.84x = 6,329.74 × 1,446.52
  4. Step 4: Simplify right side
    4,219.84x = 9,156,095.50
  5. Step 5: Solve for x
    x = 9,156,095.50/4,219.84
  6. Step 6: Final answer
    x = 2,169.77

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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.