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Finding the Fourth Proportional to 3,709.95, 5,565.09 and 2,065.26

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Solution

The fourth proportional to 3,709.95, 5,565.09 and 2,065.26 is: 3,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.95 : 5,565.09 = 2,065.26 : x
  2. Step 2: Convert to fraction form
    3,709.95/5,565.09 = 2,065.26/x
  3. Step 3: Cross multiply
    3,709.95x = 5,565.09 × 2,065.26
  4. Step 4: Simplify right side
    3,709.95x = 11,493,357.77
  5. Step 5: Solve for x
    x = 11,493,357.77/3,709.95
  6. Step 6: Final answer
    x = 3,097.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.