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Finding the Fourth Proportional to 5,779.40, 7,975.32 and 3,261.56

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Solution

The fourth proportional to 5,779.40, 7,975.32 and 3,261.56 is: 4,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.40 : 7,975.32 = 3,261.56 : x
  2. Step 2: Convert to fraction form
    5,779.40/7,975.32 = 3,261.56/x
  3. Step 3: Cross multiply
    5,779.40x = 7,975.32 × 3,261.56
  4. Step 4: Simplify right side
    5,779.40x = 26,011,984.70
  5. Step 5: Solve for x
    x = 26,011,984.70/5,779.40
  6. Step 6: Final answer
    x = 4,500.81

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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.