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Finding the Fourth Proportional to 6,541.78, 9,803.13 and 3,032.86

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Solution

The fourth proportional to 6,541.78, 9,803.13 and 3,032.86 is: 4,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.78 : 9,803.13 = 3,032.86 : x
  2. Step 2: Convert to fraction form
    6,541.78/9,803.13 = 3,032.86/x
  3. Step 3: Cross multiply
    6,541.78x = 9,803.13 × 3,032.86
  4. Step 4: Simplify right side
    6,541.78x = 29,731,520.85
  5. Step 5: Solve for x
    x = 29,731,520.85/6,541.78
  6. Step 6: Final answer
    x = 4,544.87

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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.