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Finding the Fourth Proportional to 5,143.24, 7,713.27 and 1,855.91

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Solution

The fourth proportional to 5,143.24, 7,713.27 and 1,855.91 is: 2,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.24 : 7,713.27 = 1,855.91 : x
  2. Step 2: Convert to fraction form
    5,143.24/7,713.27 = 1,855.91/x
  3. Step 3: Cross multiply
    5,143.24x = 7,713.27 × 1,855.91
  4. Step 4: Simplify right side
    5,143.24x = 14,315,111.00
  5. Step 5: Solve for x
    x = 14,315,111.00/5,143.24
  6. Step 6: Final answer
    x = 2,783.29

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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.