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Finding the Fourth Proportional to 5,012.40, 7,521.84 and 3,782.64

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Solution

The fourth proportional to 5,012.40, 7,521.84 and 3,782.64 is: 5,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.40 : 7,521.84 = 3,782.64 : x
  2. Step 2: Convert to fraction form
    5,012.40/7,521.84 = 3,782.64/x
  3. Step 3: Cross multiply
    5,012.40x = 7,521.84 × 3,782.64
  4. Step 4: Simplify right side
    5,012.40x = 28,452,412.86
  5. Step 5: Solve for x
    x = 28,452,412.86/5,012.40
  6. Step 6: Final answer
    x = 5,676.41

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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.