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Finding the Fourth Proportional to 5,662.44, 8,493.72 and 1,502.40

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Solution

The fourth proportional to 5,662.44, 8,493.72 and 1,502.40 is: 2,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.44 : 8,493.72 = 1,502.40 : x
  2. Step 2: Convert to fraction form
    5,662.44/8,493.72 = 1,502.40/x
  3. Step 3: Cross multiply
    5,662.44x = 8,493.72 × 1,502.40
  4. Step 4: Simplify right side
    5,662.44x = 12,760,964.93
  5. Step 5: Solve for x
    x = 12,760,964.93/5,662.44
  6. Step 6: Final answer
    x = 2,253.62

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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.