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Finding the Fourth Proportional to 4,855.04, 6,700 and 2,647.04

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Solution

The fourth proportional to 4,855.04, 6,700 and 2,647.04 is: 3,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.04 : 6,700 = 2,647.04 : x
  2. Step 2: Convert to fraction form
    4,855.04/6,700 = 2,647.04/x
  3. Step 3: Cross multiply
    4,855.04x = 6,700 × 2,647.04
  4. Step 4: Simplify right side
    4,855.04x = 17,735,168
  5. Step 5: Solve for x
    x = 17,735,168/4,855.04
  6. Step 6: Final answer
    x = 3,652.94

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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.