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Finding the Fourth Proportional to 3,812.67, 5,248.80 and 3,419.01

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Solution

The fourth proportional to 3,812.67, 5,248.80 and 3,419.01 is: 4,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.67 : 5,248.80 = 3,419.01 : x
  2. Step 2: Convert to fraction form
    3,812.67/5,248.80 = 3,419.01/x
  3. Step 3: Cross multiply
    3,812.67x = 5,248.80 × 3,419.01
  4. Step 4: Simplify right side
    3,812.67x = 17,945,699.69
  5. Step 5: Solve for x
    x = 17,945,699.69/3,812.67
  6. Step 6: Final answer
    x = 4,706.86

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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.