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Finding the Fourth Proportional to 4,188, 5,779.56 and 2,325.12

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Solution

The fourth proportional to 4,188, 5,779.56 and 2,325.12 is: 3,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188 : 5,779.56 = 2,325.12 : x
  2. Step 2: Convert to fraction form
    4,188/5,779.56 = 2,325.12/x
  3. Step 3: Cross multiply
    4,188x = 5,779.56 × 2,325.12
  4. Step 4: Simplify right side
    4,188x = 13,438,170.55
  5. Step 5: Solve for x
    x = 13,438,170.55/4,188
  6. Step 6: Final answer
    x = 3,208.73

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