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Finding the Fourth Proportional to 3,613.33, 5,415.81 and 1,532.67

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Solution

The fourth proportional to 3,613.33, 5,415.81 and 1,532.67 is: 2,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.33 : 5,415.81 = 1,532.67 : x
  2. Step 2: Convert to fraction form
    3,613.33/5,415.81 = 1,532.67/x
  3. Step 3: Cross multiply
    3,613.33x = 5,415.81 × 1,532.67
  4. Step 4: Simplify right side
    3,613.33x = 8,300,649.51
  5. Step 5: Solve for x
    x = 8,300,649.51/3,613.33
  6. Step 6: Final answer
    x = 2,297.23

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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.