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Finding the Fourth Proportional to 5,826.86, 8,044.12 and 4,548.00

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Solution

The fourth proportional to 5,826.86, 8,044.12 and 4,548.00 is: 6,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.86 : 8,044.12 = 4,548.00 : x
  2. Step 2: Convert to fraction form
    5,826.86/8,044.12 = 4,548.00/x
  3. Step 3: Cross multiply
    5,826.86x = 8,044.12 × 4,548.00
  4. Step 4: Simplify right side
    5,826.86x = 36,584,625.98
  5. Step 5: Solve for x
    x = 36,584,625.98/5,826.86
  6. Step 6: Final answer
    x = 6,278.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.