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Finding the Fourth Proportional to 4,855.04, 6,702.72 and 3,203.84

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Solution

The fourth proportional to 4,855.04, 6,702.72 and 3,203.84 is: 4,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.04 : 6,702.72 = 3,203.84 : x
  2. Step 2: Convert to fraction form
    4,855.04/6,702.72 = 3,203.84/x
  3. Step 3: Cross multiply
    4,855.04x = 6,702.72 × 3,203.84
  4. Step 4: Simplify right side
    4,855.04x = 21,474,442.44
  5. Step 5: Solve for x
    x = 21,474,442.44/4,855.04
  6. Step 6: Final answer
    x = 4,423.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.