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Finding the Fourth Proportional to 5,899.78, 8,151.78 and 5,152.60

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Solution

The fourth proportional to 5,899.78, 8,151.78 and 5,152.60 is: 7,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.78 : 8,151.78 = 5,152.60 : x
  2. Step 2: Convert to fraction form
    5,899.78/8,151.78 = 5,152.60/x
  3. Step 3: Cross multiply
    5,899.78x = 8,151.78 × 5,152.60
  4. Step 4: Simplify right side
    5,899.78x = 42,002,861.63
  5. Step 5: Solve for x
    x = 42,002,861.63/5,899.78
  6. Step 6: Final answer
    x = 7,119.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.