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Finding the Fourth Proportional to 3,597.88, 4,965.08 and 2,026.00

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Solution

The fourth proportional to 3,597.88, 4,965.08 and 2,026.00 is: 2,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.88 : 4,965.08 = 2,026.00 : x
  2. Step 2: Convert to fraction form
    3,597.88/4,965.08 = 2,026.00/x
  3. Step 3: Cross multiply
    3,597.88x = 4,965.08 × 2,026.00
  4. Step 4: Simplify right side
    3,597.88x = 10,059,232.32
  5. Step 5: Solve for x
    x = 10,059,232.32/3,597.88
  6. Step 6: Final answer
    x = 2,795.88

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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.