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Finding the Fourth Proportional to 4,883.81, 6,742.53 and 3,208.14

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Solution

The fourth proportional to 4,883.81, 6,742.53 and 3,208.14 is: 4,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.81 : 6,742.53 = 3,208.14 : x
  2. Step 2: Convert to fraction form
    4,883.81/6,742.53 = 3,208.14/x
  3. Step 3: Cross multiply
    4,883.81x = 6,742.53 × 3,208.14
  4. Step 4: Simplify right side
    4,883.81x = 21,630,946.48
  5. Step 5: Solve for x
    x = 21,630,946.48/4,883.81
  6. Step 6: Final answer
    x = 4,429.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.