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Finding the Fourth Proportional to 4,497.55, 6,206.65 and 2,508.23

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Solution

The fourth proportional to 4,497.55, 6,206.65 and 2,508.23 is: 3,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.55 : 6,206.65 = 2,508.23 : x
  2. Step 2: Convert to fraction form
    4,497.55/6,206.65 = 2,508.23/x
  3. Step 3: Cross multiply
    4,497.55x = 6,206.65 × 2,508.23
  4. Step 4: Simplify right side
    4,497.55x = 15,567,705.73
  5. Step 5: Solve for x
    x = 15,567,705.73/4,497.55
  6. Step 6: Final answer
    x = 3,461.38

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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.