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Finding the Fourth Proportional to 3,597.84, 4,965.36 and 2,026.08

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Solution

The fourth proportional to 3,597.84, 4,965.36 and 2,026.08 is: 2,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.84 : 4,965.36 = 2,026.08 : x
  2. Step 2: Convert to fraction form
    3,597.84/4,965.36 = 2,026.08/x
  3. Step 3: Cross multiply
    3,597.84x = 4,965.36 × 2,026.08
  4. Step 4: Simplify right side
    3,597.84x = 10,060,216.59
  5. Step 5: Solve for x
    x = 10,060,216.59/3,597.84
  6. Step 6: Final answer
    x = 2,796.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.