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Finding the Fourth Proportional to 3,597.68, 4,964.82 and 2,271.98

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Solution

The fourth proportional to 3,597.68, 4,964.82 and 2,271.98 is: 3,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.68 : 4,964.82 = 2,271.98 : x
  2. Step 2: Convert to fraction form
    3,597.68/4,964.82 = 2,271.98/x
  3. Step 3: Cross multiply
    3,597.68x = 4,964.82 × 2,271.98
  4. Step 4: Simplify right side
    3,597.68x = 11,279,971.74
  5. Step 5: Solve for x
    x = 11,279,971.74/3,597.68
  6. Step 6: Final answer
    x = 3,135.35

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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.