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Finding the Fourth Proportional to 4,359.89, 6,541.10 and 1,586.50

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Solution

The fourth proportional to 4,359.89, 6,541.10 and 1,586.50 is: 2,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359.89 : 6,541.10 = 1,586.50 : x
  2. Step 2: Convert to fraction form
    4,359.89/6,541.10 = 1,586.50/x
  3. Step 3: Cross multiply
    4,359.89x = 6,541.10 × 1,586.50
  4. Step 4: Simplify right side
    4,359.89x = 10,377,455.15
  5. Step 5: Solve for x
    x = 10,377,455.15/4,359.89
  6. Step 6: Final answer
    x = 2,380.21

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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.