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Finding the Fourth Proportional to 5,779.24, 7,975.34 and 3,126.65

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Solution

The fourth proportional to 5,779.24, 7,975.34 and 3,126.65 is: 4,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.24 : 7,975.34 = 3,126.65 : x
  2. Step 2: Convert to fraction form
    5,779.24/7,975.34 = 3,126.65/x
  3. Step 3: Cross multiply
    5,779.24x = 7,975.34 × 3,126.65
  4. Step 4: Simplify right side
    5,779.24x = 24,936,053.03
  5. Step 5: Solve for x
    x = 24,936,053.03/5,779.24
  6. Step 6: Final answer
    x = 4,314.77

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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.