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Finding the Fourth Proportional to 4,783.84, 7,175.96 and 1,496.86

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Solution

The fourth proportional to 4,783.84, 7,175.96 and 1,496.86 is: 2,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.84 : 7,175.96 = 1,496.86 : x
  2. Step 2: Convert to fraction form
    4,783.84/7,175.96 = 1,496.86/x
  3. Step 3: Cross multiply
    4,783.84x = 7,175.96 × 1,496.86
  4. Step 4: Simplify right side
    4,783.84x = 10,741,407.49
  5. Step 5: Solve for x
    x = 10,741,407.49/4,783.84
  6. Step 6: Final answer
    x = 2,245.35

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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.