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Finding the Fourth Proportional to 4,682.38, 7,021.78 and 1,561.80

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Solution

The fourth proportional to 4,682.38, 7,021.78 and 1,561.80 is: 2,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.38 : 7,021.78 = 1,561.80 : x
  2. Step 2: Convert to fraction form
    4,682.38/7,021.78 = 1,561.80/x
  3. Step 3: Cross multiply
    4,682.38x = 7,021.78 × 1,561.80
  4. Step 4: Simplify right side
    4,682.38x = 10,966,616.00
  5. Step 5: Solve for x
    x = 10,966,616.00/4,682.38
  6. Step 6: Final answer
    x = 2,342.10

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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.