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Finding the Fourth Proportional to 4,156.25, 6,235.99 and 1,846.13

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Solution

The fourth proportional to 4,156.25, 6,235.99 and 1,846.13 is: 2,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.25 : 6,235.99 = 1,846.13 : x
  2. Step 2: Convert to fraction form
    4,156.25/6,235.99 = 1,846.13/x
  3. Step 3: Cross multiply
    4,156.25x = 6,235.99 × 1,846.13
  4. Step 4: Simplify right side
    4,156.25x = 11,512,412.42
  5. Step 5: Solve for x
    x = 11,512,412.42/4,156.25
  6. Step 6: Final answer
    x = 2,769.91

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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.