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Finding the Fourth Proportional to 5,798.94, 8,702.97 and 2,338.62

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Solution

The fourth proportional to 5,798.94, 8,702.97 and 2,338.62 is: 3,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.94 : 8,702.97 = 2,338.62 : x
  2. Step 2: Convert to fraction form
    5,798.94/8,702.97 = 2,338.62/x
  3. Step 3: Cross multiply
    5,798.94x = 8,702.97 × 2,338.62
  4. Step 4: Simplify right side
    5,798.94x = 20,352,939.70
  5. Step 5: Solve for x
    x = 20,352,939.70/5,798.94
  6. Step 6: Final answer
    x = 3,509.77

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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.