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Finding the Fourth Proportional to 3,638.58, 5,458.16 and 1,763.92

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Solution

The fourth proportional to 3,638.58, 5,458.16 and 1,763.92 is: 2,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.58 : 5,458.16 = 1,763.92 : x
  2. Step 2: Convert to fraction form
    3,638.58/5,458.16 = 1,763.92/x
  3. Step 3: Cross multiply
    3,638.58x = 5,458.16 × 1,763.92
  4. Step 4: Simplify right side
    3,638.58x = 9,627,748.77
  5. Step 5: Solve for x
    x = 9,627,748.77/3,638.58
  6. Step 6: Final answer
    x = 2,646.02

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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.