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Finding the Fourth Proportional to 3,779.76, 5,215.26 and 2,207.14

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Solution

The fourth proportional to 3,779.76, 5,215.26 and 2,207.14 is: 3,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.76 : 5,215.26 = 2,207.14 : x
  2. Step 2: Convert to fraction form
    3,779.76/5,215.26 = 2,207.14/x
  3. Step 3: Cross multiply
    3,779.76x = 5,215.26 × 2,207.14
  4. Step 4: Simplify right side
    3,779.76x = 11,510,808.96
  5. Step 5: Solve for x
    x = 11,510,808.96/3,779.76
  6. Step 6: Final answer
    x = 3,045.38

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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.