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Finding the Fourth Proportional to 4,562.69, 6,844.03 and 1,638.90

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Solution

The fourth proportional to 4,562.69, 6,844.03 and 1,638.90 is: 2,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.69 : 6,844.03 = 1,638.90 : x
  2. Step 2: Convert to fraction form
    4,562.69/6,844.03 = 1,638.90/x
  3. Step 3: Cross multiply
    4,562.69x = 6,844.03 × 1,638.90
  4. Step 4: Simplify right side
    4,562.69x = 11,216,676.67
  5. Step 5: Solve for x
    x = 11,216,676.67/4,562.69
  6. Step 6: Final answer
    x = 2,458.35

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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.