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Finding the Fourth Proportional to 4,563.65, 6,843.65 and 1,932.36

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Solution

The fourth proportional to 4,563.65, 6,843.65 and 1,932.36 is: 2,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.65 : 6,843.65 = 1,932.36 : x
  2. Step 2: Convert to fraction form
    4,563.65/6,843.65 = 1,932.36/x
  3. Step 3: Cross multiply
    4,563.65x = 6,843.65 × 1,932.36
  4. Step 4: Simplify right side
    4,563.65x = 13,224,385.85
  5. Step 5: Solve for x
    x = 13,224,385.85/4,563.65
  6. Step 6: Final answer
    x = 2,897.77

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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.