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Finding the Fourth Proportional to 4,097.90, 5,654.94 and 2,419.40

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Solution

The fourth proportional to 4,097.90, 5,654.94 and 2,419.40 is: 3,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.90 : 5,654.94 = 2,419.40 : x
  2. Step 2: Convert to fraction form
    4,097.90/5,654.94 = 2,419.40/x
  3. Step 3: Cross multiply
    4,097.90x = 5,654.94 × 2,419.40
  4. Step 4: Simplify right side
    4,097.90x = 13,681,561.84
  5. Step 5: Solve for x
    x = 13,681,561.84/4,097.90
  6. Step 6: Final answer
    x = 3,338.68

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Why These Related Problems?

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