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Finding the Fourth Proportional to 5,877.65, 8,795.87 and 4,213.60

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Solution

The fourth proportional to 5,877.65, 8,795.87 and 4,213.60 is: 6,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.65 : 8,795.87 = 4,213.60 : x
  2. Step 2: Convert to fraction form
    5,877.65/8,795.87 = 4,213.60/x
  3. Step 3: Cross multiply
    5,877.65x = 8,795.87 × 4,213.60
  4. Step 4: Simplify right side
    5,877.65x = 37,062,283.56
  5. Step 5: Solve for x
    x = 37,062,283.56/5,877.65
  6. Step 6: Final answer
    x = 6,305.63

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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.