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Finding the Fourth Proportional to 4,820, 7,230.36 and 2,739.20

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Solution

The fourth proportional to 4,820, 7,230.36 and 2,739.20 is: 4,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820 : 7,230.36 = 2,739.20 : x
  2. Step 2: Convert to fraction form
    4,820/7,230.36 = 2,739.20/x
  3. Step 3: Cross multiply
    4,820x = 7,230.36 × 2,739.20
  4. Step 4: Simplify right side
    4,820x = 19,805,402.11
  5. Step 5: Solve for x
    x = 19,805,402.11/4,820
  6. Step 6: Final answer
    x = 4,109.00

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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.