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Finding the Fourth Proportional to 3,597.50, 4,964.55 and 2,494.14

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Solution

The fourth proportional to 3,597.50, 4,964.55 and 2,494.14 is: 3,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.50 : 4,964.55 = 2,494.14 : x
  2. Step 2: Convert to fraction form
    3,597.50/4,964.55 = 2,494.14/x
  3. Step 3: Cross multiply
    3,597.50x = 4,964.55 × 2,494.14
  4. Step 4: Simplify right side
    3,597.50x = 12,382,282.74
  5. Step 5: Solve for x
    x = 12,382,282.74/3,597.50
  6. Step 6: Final answer
    x = 3,441.91

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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.