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Finding the Fourth Proportional to 3,729.65, 5,595.68 and 1,782

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Solution

The fourth proportional to 3,729.65, 5,595.68 and 1,782 is: 2,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.65 : 5,595.68 = 1,782 : x
  2. Step 2: Convert to fraction form
    3,729.65/5,595.68 = 1,782/x
  3. Step 3: Cross multiply
    3,729.65x = 5,595.68 × 1,782
  4. Step 4: Simplify right side
    3,729.65x = 9,971,506.22
  5. Step 5: Solve for x
    x = 9,971,506.22/3,729.65
  6. Step 6: Final answer
    x = 2,673.58

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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.