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Finding the Fourth Proportional to 5,663.30, 8,493.53 and 2,541.56

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Solution

The fourth proportional to 5,663.30, 8,493.53 and 2,541.56 is: 3,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.30 : 8,493.53 = 2,541.56 : x
  2. Step 2: Convert to fraction form
    5,663.30/8,493.53 = 2,541.56/x
  3. Step 3: Cross multiply
    5,663.30x = 8,493.53 × 2,541.56
  4. Step 4: Simplify right side
    5,663.30x = 21,586,760.93
  5. Step 5: Solve for x
    x = 21,586,760.93/5,663.30
  6. Step 6: Final answer
    x = 3,811.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.