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Finding the Fourth Proportional to 5,295.20, 7,940.24 and 1,596.74

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Solution

The fourth proportional to 5,295.20, 7,940.24 and 1,596.74 is: 2,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.20 : 7,940.24 = 1,596.74 : x
  2. Step 2: Convert to fraction form
    5,295.20/7,940.24 = 1,596.74/x
  3. Step 3: Cross multiply
    5,295.20x = 7,940.24 × 1,596.74
  4. Step 4: Simplify right side
    5,295.20x = 12,678,490.83
  5. Step 5: Solve for x
    x = 12,678,490.83/5,295.20
  6. Step 6: Final answer
    x = 2,394.34

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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.