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Finding the Fourth Proportional to 5,632.64, 8,451.20 and 3,782.40

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Solution

The fourth proportional to 5,632.64, 8,451.20 and 3,782.40 is: 5,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.64 : 8,451.20 = 3,782.40 : x
  2. Step 2: Convert to fraction form
    5,632.64/8,451.20 = 3,782.40/x
  3. Step 3: Cross multiply
    5,632.64x = 8,451.20 × 3,782.40
  4. Step 4: Simplify right side
    5,632.64x = 31,965,818.88
  5. Step 5: Solve for x
    x = 31,965,818.88/5,632.64
  6. Step 6: Final answer
    x = 5,675.10

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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.