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Finding the Fourth Proportional to 3,597.88, 4,965.20 and 2,026

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Solution

The fourth proportional to 3,597.88, 4,965.20 and 2,026 is: 2,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.88 : 4,965.20 = 2,026 : x
  2. Step 2: Convert to fraction form
    3,597.88/4,965.20 = 2,026/x
  3. Step 3: Cross multiply
    3,597.88x = 4,965.20 × 2,026
  4. Step 4: Simplify right side
    3,597.88x = 10,059,495.20
  5. Step 5: Solve for x
    x = 10,059,495.20/3,597.88
  6. Step 6: Final answer
    x = 2,795.95

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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.