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Finding the Fourth Proportional to 3,456, 5,184.63 and 3,143.00

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Solution

The fourth proportional to 3,456, 5,184.63 and 3,143.00 is: 4,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 5,184.63 = 3,143.00 : x
  2. Step 2: Convert to fraction form
    3,456/5,184.63 = 3,143.00/x
  3. Step 3: Cross multiply
    3,456x = 5,184.63 × 3,143.00
  4. Step 4: Simplify right side
    3,456x = 16,295,266.17
  5. Step 5: Solve for x
    x = 16,295,266.17/3,456
  6. Step 6: Final answer
    x = 4,715.07

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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.