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Finding the Fourth Proportional to 4,307.69, 5,944.61 and 2,419.28

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Solution

The fourth proportional to 4,307.69, 5,944.61 and 2,419.28 is: 3,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.69 : 5,944.61 = 2,419.28 : x
  2. Step 2: Convert to fraction form
    4,307.69/5,944.61 = 2,419.28/x
  3. Step 3: Cross multiply
    4,307.69x = 5,944.61 × 2,419.28
  4. Step 4: Simplify right side
    4,307.69x = 14,381,662.23
  5. Step 5: Solve for x
    x = 14,381,662.23/4,307.69
  6. Step 6: Final answer
    x = 3,338.60

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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.