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Finding the Fourth Proportional to 4,809.81, 7,217.64 and 1,888.14

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Solution

The fourth proportional to 4,809.81, 7,217.64 and 1,888.14 is: 2,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.81 : 7,217.64 = 1,888.14 : x
  2. Step 2: Convert to fraction form
    4,809.81/7,217.64 = 1,888.14/x
  3. Step 3: Cross multiply
    4,809.81x = 7,217.64 × 1,888.14
  4. Step 4: Simplify right side
    4,809.81x = 13,627,914.79
  5. Step 5: Solve for x
    x = 13,627,914.79/4,809.81
  6. Step 6: Final answer
    x = 2,833.36

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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.