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Finding the Fourth Proportional to 4,817.90, 6,647.63 and 2,801

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Solution

The fourth proportional to 4,817.90, 6,647.63 and 2,801 is: 3,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.90 : 6,647.63 = 2,801 : x
  2. Step 2: Convert to fraction form
    4,817.90/6,647.63 = 2,801/x
  3. Step 3: Cross multiply
    4,817.90x = 6,647.63 × 2,801
  4. Step 4: Simplify right side
    4,817.90x = 18,620,011.63
  5. Step 5: Solve for x
    x = 18,620,011.63/4,817.90
  6. Step 6: Final answer
    x = 3,864.76

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