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Finding the Fourth Proportional to 4,204.84, 6,303.14 and 3,844.02

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Solution

The fourth proportional to 4,204.84, 6,303.14 and 3,844.02 is: 5,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.84 : 6,303.14 = 3,844.02 : x
  2. Step 2: Convert to fraction form
    4,204.84/6,303.14 = 3,844.02/x
  3. Step 3: Cross multiply
    4,204.84x = 6,303.14 × 3,844.02
  4. Step 4: Simplify right side
    4,204.84x = 24,229,396.22
  5. Step 5: Solve for x
    x = 24,229,396.22/4,204.84
  6. Step 6: Final answer
    x = 5,762.26

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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.