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Finding the Fourth Proportional to 5,926.41, 8,887.77 and 1,765.64

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Solution

The fourth proportional to 5,926.41, 8,887.77 and 1,765.64 is: 2,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.41 : 8,887.77 = 1,765.64 : x
  2. Step 2: Convert to fraction form
    5,926.41/8,887.77 = 1,765.64/x
  3. Step 3: Cross multiply
    5,926.41x = 8,887.77 × 1,765.64
  4. Step 4: Simplify right side
    5,926.41x = 15,692,557.78
  5. Step 5: Solve for x
    x = 15,692,557.78/5,926.41
  6. Step 6: Final answer
    x = 2,647.90

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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.