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Finding the Fourth Proportional to 3,779.45, 5,215.65 and 2,101.01

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Solution

The fourth proportional to 3,779.45, 5,215.65 and 2,101.01 is: 2,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.45 : 5,215.65 = 2,101.01 : x
  2. Step 2: Convert to fraction form
    3,779.45/5,215.65 = 2,101.01/x
  3. Step 3: Cross multiply
    3,779.45x = 5,215.65 × 2,101.01
  4. Step 4: Simplify right side
    3,779.45x = 10,958,134.17
  5. Step 5: Solve for x
    x = 10,958,134.17/3,779.45
  6. Step 6: Final answer
    x = 2,899.40

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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.