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Finding the Fourth Proportional to 5,798.38, 8,702.14 and 2,104.18

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Solution

The fourth proportional to 5,798.38, 8,702.14 and 2,104.18 is: 3,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.38 : 8,702.14 = 2,104.18 : x
  2. Step 2: Convert to fraction form
    5,798.38/8,702.14 = 2,104.18/x
  3. Step 3: Cross multiply
    5,798.38x = 8,702.14 × 2,104.18
  4. Step 4: Simplify right side
    5,798.38x = 18,310,868.95
  5. Step 5: Solve for x
    x = 18,310,868.95/5,798.38
  6. Step 6: Final answer
    x = 3,157.93

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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.