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Finding the Fourth Proportional to 3,709.77, 5,117.21 and 2,911.89

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Solution

The fourth proportional to 3,709.77, 5,117.21 and 2,911.89 is: 4,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.77 : 5,117.21 = 2,911.89 : x
  2. Step 2: Convert to fraction form
    3,709.77/5,117.21 = 2,911.89/x
  3. Step 3: Cross multiply
    3,709.77x = 5,117.21 × 2,911.89
  4. Step 4: Simplify right side
    3,709.77x = 14,900,779.10
  5. Step 5: Solve for x
    x = 14,900,779.10/3,709.77
  6. Step 6: Final answer
    x = 4,016.63

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