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Finding the Fourth Proportional to 3,779.19, 5,220.27 and 3,151.77

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Solution

The fourth proportional to 3,779.19, 5,220.27 and 3,151.77 is: 4,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.19 : 5,220.27 = 3,151.77 : x
  2. Step 2: Convert to fraction form
    3,779.19/5,220.27 = 3,151.77/x
  3. Step 3: Cross multiply
    3,779.19x = 5,220.27 × 3,151.77
  4. Step 4: Simplify right side
    3,779.19x = 16,453,090.38
  5. Step 5: Solve for x
    x = 16,453,090.38/3,779.19
  6. Step 6: Final answer
    x = 4,353.60

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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.