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Finding the Fourth Proportional to 5,779.90, 7,975.82 and 3,262.64

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Solution

The fourth proportional to 5,779.90, 7,975.82 and 3,262.64 is: 4,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.90 : 7,975.82 = 3,262.64 : x
  2. Step 2: Convert to fraction form
    5,779.90/7,975.82 = 3,262.64/x
  3. Step 3: Cross multiply
    5,779.90x = 7,975.82 × 3,262.64
  4. Step 4: Simplify right side
    5,779.90x = 26,022,229.36
  5. Step 5: Solve for x
    x = 26,022,229.36/5,779.90
  6. Step 6: Final answer
    x = 4,502.19

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Why These Related Problems?

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