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Finding the Fourth Proportional to 4,549.76, 6,824.65 and 1,262.86

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Solution

The fourth proportional to 4,549.76, 6,824.65 and 1,262.86 is: 1,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.76 : 6,824.65 = 1,262.86 : x
  2. Step 2: Convert to fraction form
    4,549.76/6,824.65 = 1,262.86/x
  3. Step 3: Cross multiply
    4,549.76x = 6,824.65 × 1,262.86
  4. Step 4: Simplify right side
    4,549.76x = 8,618,573.16
  5. Step 5: Solve for x
    x = 8,618,573.16/4,549.76
  6. Step 6: Final answer
    x = 1,894.29

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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.