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Finding the Fourth Proportional to 4,820.52, 7,230.80 and 1,900.20

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Solution

The fourth proportional to 4,820.52, 7,230.80 and 1,900.20 is: 2,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.52 : 7,230.80 = 1,900.20 : x
  2. Step 2: Convert to fraction form
    4,820.52/7,230.80 = 1,900.20/x
  3. Step 3: Cross multiply
    4,820.52x = 7,230.80 × 1,900.20
  4. Step 4: Simplify right side
    4,820.52x = 13,739,966.16
  5. Step 5: Solve for x
    x = 13,739,966.16/4,820.52
  6. Step 6: Final answer
    x = 2,850.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.