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Finding the Fourth Proportional to 4,777.52, 7,161.08 and 2,005.68

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Solution

The fourth proportional to 4,777.52, 7,161.08 and 2,005.68 is: 3,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.52 : 7,161.08 = 2,005.68 : x
  2. Step 2: Convert to fraction form
    4,777.52/7,161.08 = 2,005.68/x
  3. Step 3: Cross multiply
    4,777.52x = 7,161.08 × 2,005.68
  4. Step 4: Simplify right side
    4,777.52x = 14,362,834.93
  5. Step 5: Solve for x
    x = 14,362,834.93/4,777.52
  6. Step 6: Final answer
    x = 3,006.34

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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.