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Finding the Fourth Proportional to 5,779.38, 7,975.56 and 3,126.80

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Solution

The fourth proportional to 5,779.38, 7,975.56 and 3,126.80 is: 4,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.38 : 7,975.56 = 3,126.80 : x
  2. Step 2: Convert to fraction form
    5,779.38/7,975.56 = 3,126.80/x
  3. Step 3: Cross multiply
    5,779.38x = 7,975.56 × 3,126.80
  4. Step 4: Simplify right side
    5,779.38x = 24,938,012.67
  5. Step 5: Solve for x
    x = 24,938,012.67/5,779.38
  6. Step 6: Final answer
    x = 4,315.00

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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.