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Finding the Fourth Proportional to 3,684.74, 5,526.26 and 1,052.19

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Solution

The fourth proportional to 3,684.74, 5,526.26 and 1,052.19 is: 1,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.74 : 5,526.26 = 1,052.19 : x
  2. Step 2: Convert to fraction form
    3,684.74/5,526.26 = 1,052.19/x
  3. Step 3: Cross multiply
    3,684.74x = 5,526.26 × 1,052.19
  4. Step 4: Simplify right side
    3,684.74x = 5,814,649.52
  5. Step 5: Solve for x
    x = 5,814,649.52/3,684.74
  6. Step 6: Final answer
    x = 1,578.04

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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.