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Finding the Fourth Proportional to 5,235.02, 7,842.27 and 3,039.14

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Solution

The fourth proportional to 5,235.02, 7,842.27 and 3,039.14 is: 4,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.02 : 7,842.27 = 3,039.14 : x
  2. Step 2: Convert to fraction form
    5,235.02/7,842.27 = 3,039.14/x
  3. Step 3: Cross multiply
    5,235.02x = 7,842.27 × 3,039.14
  4. Step 4: Simplify right side
    5,235.02x = 23,833,756.45
  5. Step 5: Solve for x
    x = 23,833,756.45/5,235.02
  6. Step 6: Final answer
    x = 4,552.75

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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.