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Finding the Fourth Proportional to 4,394.77, 6,596.71 and 2,549.50

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Solution

The fourth proportional to 4,394.77, 6,596.71 and 2,549.50 is: 3,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.77 : 6,596.71 = 2,549.50 : x
  2. Step 2: Convert to fraction form
    4,394.77/6,596.71 = 2,549.50/x
  3. Step 3: Cross multiply
    4,394.77x = 6,596.71 × 2,549.50
  4. Step 4: Simplify right side
    4,394.77x = 16,818,289.28
  5. Step 5: Solve for x
    x = 16,818,289.28/4,394.77
  6. Step 6: Final answer
    x = 3,826.89

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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.