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Finding the Fourth Proportional to 5,783.09, 7,985.27 and 5,340.83

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Solution

The fourth proportional to 5,783.09, 7,985.27 and 5,340.83 is: 7,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.09 : 7,985.27 = 5,340.83 : x
  2. Step 2: Convert to fraction form
    5,783.09/7,985.27 = 5,340.83/x
  3. Step 3: Cross multiply
    5,783.09x = 7,985.27 × 5,340.83
  4. Step 4: Simplify right side
    5,783.09x = 42,647,942.87
  5. Step 5: Solve for x
    x = 42,647,942.87/5,783.09
  6. Step 6: Final answer
    x = 7,374.59

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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.