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Finding the Fourth Proportional to 3,425.65, 5,139.69 and 1,782.16

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Solution

The fourth proportional to 3,425.65, 5,139.69 and 1,782.16 is: 2,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.65 : 5,139.69 = 1,782.16 : x
  2. Step 2: Convert to fraction form
    3,425.65/5,139.69 = 1,782.16/x
  3. Step 3: Cross multiply
    3,425.65x = 5,139.69 × 1,782.16
  4. Step 4: Simplify right side
    3,425.65x = 9,159,749.93
  5. Step 5: Solve for x
    x = 9,159,749.93/3,425.65
  6. Step 6: Final answer
    x = 2,673.87

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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.