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Finding the Fourth Proportional to 4,975.96, 7,463.70 and 1,855.72

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Solution

The fourth proportional to 4,975.96, 7,463.70 and 1,855.72 is: 2,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.96 : 7,463.70 = 1,855.72 : x
  2. Step 2: Convert to fraction form
    4,975.96/7,463.70 = 1,855.72/x
  3. Step 3: Cross multiply
    4,975.96x = 7,463.70 × 1,855.72
  4. Step 4: Simplify right side
    4,975.96x = 13,850,546.74
  5. Step 5: Solve for x
    x = 13,850,546.74/4,975.96
  6. Step 6: Final answer
    x = 2,783.49

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Similar ratio
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1.5x scale

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.