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Finding the Fourth Proportional to 4,497.48, 6,206.86 and 2,609.56

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Solution

The fourth proportional to 4,497.48, 6,206.86 and 2,609.56 is: 3,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.48 : 6,206.86 = 2,609.56 : x
  2. Step 2: Convert to fraction form
    4,497.48/6,206.86 = 2,609.56/x
  3. Step 3: Cross multiply
    4,497.48x = 6,206.86 × 2,609.56
  4. Step 4: Simplify right side
    4,497.48x = 16,197,173.58
  5. Step 5: Solve for x
    x = 16,197,173.58/4,497.48
  6. Step 6: Final answer
    x = 3,601.39

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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.