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Finding the Fourth Proportional to 5,415.69, 7,473.60 and 3,057.78

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Solution

The fourth proportional to 5,415.69, 7,473.60 and 3,057.78 is: 4,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.69 : 7,473.60 = 3,057.78 : x
  2. Step 2: Convert to fraction form
    5,415.69/7,473.60 = 3,057.78/x
  3. Step 3: Cross multiply
    5,415.69x = 7,473.60 × 3,057.78
  4. Step 4: Simplify right side
    5,415.69x = 22,852,624.61
  5. Step 5: Solve for x
    x = 22,852,624.61/5,415.69
  6. Step 6: Final answer
    x = 4,219.71

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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.