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Finding the Fourth Proportional to 5,803.20, 8,702.88 and 2,104.80

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Solution

The fourth proportional to 5,803.20, 8,702.88 and 2,104.80 is: 3,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.20 : 8,702.88 = 2,104.80 : x
  2. Step 2: Convert to fraction form
    5,803.20/8,702.88 = 2,104.80/x
  3. Step 3: Cross multiply
    5,803.20x = 8,702.88 × 2,104.80
  4. Step 4: Simplify right side
    5,803.20x = 18,317,821.82
  5. Step 5: Solve for x
    x = 18,317,821.82/5,803.20
  6. Step 6: Final answer
    x = 3,156.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.