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Finding the Fourth Proportional to 4,829.69, 7,244.47 and 1,366.94

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Solution

The fourth proportional to 4,829.69, 7,244.47 and 1,366.94 is: 2,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.69 : 7,244.47 = 1,366.94 : x
  2. Step 2: Convert to fraction form
    4,829.69/7,244.47 = 1,366.94/x
  3. Step 3: Cross multiply
    4,829.69x = 7,244.47 × 1,366.94
  4. Step 4: Simplify right side
    4,829.69x = 9,902,775.64
  5. Step 5: Solve for x
    x = 9,902,775.64/4,829.69
  6. Step 6: Final answer
    x = 2,050.39

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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.