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Finding the Fourth Proportional to 4,573.50, 6,856.65 and 2,382.54

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Solution

The fourth proportional to 4,573.50, 6,856.65 and 2,382.54 is: 3,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.50 : 6,856.65 = 2,382.54 : x
  2. Step 2: Convert to fraction form
    4,573.50/6,856.65 = 2,382.54/x
  3. Step 3: Cross multiply
    4,573.50x = 6,856.65 × 2,382.54
  4. Step 4: Simplify right side
    4,573.50x = 16,336,242.89
  5. Step 5: Solve for x
    x = 16,336,242.89/4,573.50
  6. Step 6: Final answer
    x = 3,571.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.