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Finding the Fourth Proportional to 4,783.70, 7,171.43 and 1,820.50

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Solution

The fourth proportional to 4,783.70, 7,171.43 and 1,820.50 is: 2,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.70 : 7,171.43 = 1,820.50 : x
  2. Step 2: Convert to fraction form
    4,783.70/7,171.43 = 1,820.50/x
  3. Step 3: Cross multiply
    4,783.70x = 7,171.43 × 1,820.50
  4. Step 4: Simplify right side
    4,783.70x = 13,055,588.32
  5. Step 5: Solve for x
    x = 13,055,588.32/4,783.70
  6. Step 6: Final answer
    x = 2,729.18

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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.