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Finding the Fourth Proportional to 4,709.65, 7,065.39 and 1,790.01

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Solution

The fourth proportional to 4,709.65, 7,065.39 and 1,790.01 is: 2,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.65 : 7,065.39 = 1,790.01 : x
  2. Step 2: Convert to fraction form
    4,709.65/7,065.39 = 1,790.01/x
  3. Step 3: Cross multiply
    4,709.65x = 7,065.39 × 1,790.01
  4. Step 4: Simplify right side
    4,709.65x = 12,647,118.75
  5. Step 5: Solve for x
    x = 12,647,118.75/4,709.65
  6. Step 6: Final answer
    x = 2,685.36

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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.