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Finding the Fourth Proportional to 4,586.26, 6,876.06 and 1,811.50

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Solution

The fourth proportional to 4,586.26, 6,876.06 and 1,811.50 is: 2,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.26 : 6,876.06 = 1,811.50 : x
  2. Step 2: Convert to fraction form
    4,586.26/6,876.06 = 1,811.50/x
  3. Step 3: Cross multiply
    4,586.26x = 6,876.06 × 1,811.50
  4. Step 4: Simplify right side
    4,586.26x = 12,455,982.69
  5. Step 5: Solve for x
    x = 12,455,982.69/4,586.26
  6. Step 6: Final answer
    x = 2,715.93

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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.