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Finding the Fourth Proportional to 5,143.50, 7,099.85 and 3,047.63

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Solution

The fourth proportional to 5,143.50, 7,099.85 and 3,047.63 is: 4,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.50 : 7,099.85 = 3,047.63 : x
  2. Step 2: Convert to fraction form
    5,143.50/7,099.85 = 3,047.63/x
  3. Step 3: Cross multiply
    5,143.50x = 7,099.85 × 3,047.63
  4. Step 4: Simplify right side
    5,143.50x = 21,637,687.98
  5. Step 5: Solve for x
    x = 21,637,687.98/5,143.50
  6. Step 6: Final answer
    x = 4,206.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.