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Finding the Fourth Proportional to 4,423.50, 6,105.06 and 2,560.50

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Solution

The fourth proportional to 4,423.50, 6,105.06 and 2,560.50 is: 3,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423.50 : 6,105.06 = 2,560.50 : x
  2. Step 2: Convert to fraction form
    4,423.50/6,105.06 = 2,560.50/x
  3. Step 3: Cross multiply
    4,423.50x = 6,105.06 × 2,560.50
  4. Step 4: Simplify right side
    4,423.50x = 15,632,006.13
  5. Step 5: Solve for x
    x = 15,632,006.13/4,423.50
  6. Step 6: Final answer
    x = 3,533.85

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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.