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Finding the Fourth Proportional to 4,549.62, 6,824.64 and 1,262.64

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Solution

The fourth proportional to 4,549.62, 6,824.64 and 1,262.64 is: 1,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.62 : 6,824.64 = 1,262.64 : x
  2. Step 2: Convert to fraction form
    4,549.62/6,824.64 = 1,262.64/x
  3. Step 3: Cross multiply
    4,549.62x = 6,824.64 × 1,262.64
  4. Step 4: Simplify right side
    4,549.62x = 8,617,063.45
  5. Step 5: Solve for x
    x = 8,617,063.45/4,549.62
  6. Step 6: Final answer
    x = 1,894.02

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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.