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Finding the Fourth Proportional to 5,805.12, 8,702.56 and 3,368

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Solution

The fourth proportional to 5,805.12, 8,702.56 and 3,368 is: 5,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.12 : 8,702.56 = 3,368 : x
  2. Step 2: Convert to fraction form
    5,805.12/8,702.56 = 3,368/x
  3. Step 3: Cross multiply
    5,805.12x = 8,702.56 × 3,368
  4. Step 4: Simplify right side
    5,805.12x = 29,310,222.08
  5. Step 5: Solve for x
    x = 29,310,222.08/5,805.12
  6. Step 6: Final answer
    x = 5,049.03

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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.