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Finding the Fourth Proportional to 5,779.74, 7,975.84 and 3,261.91

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Solution

The fourth proportional to 5,779.74, 7,975.84 and 3,261.91 is: 4,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.74 : 7,975.84 = 3,261.91 : x
  2. Step 2: Convert to fraction form
    5,779.74/7,975.84 = 3,261.91/x
  3. Step 3: Cross multiply
    5,779.74x = 7,975.84 × 3,261.91
  4. Step 4: Simplify right side
    5,779.74x = 26,016,472.25
  5. Step 5: Solve for x
    x = 26,016,472.25/5,779.74
  6. Step 6: Final answer
    x = 4,501.32

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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.