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Finding the Fourth Proportional to 3,597.42, 4,963.86 and 2,271.84

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Solution

The fourth proportional to 3,597.42, 4,963.86 and 2,271.84 is: 3,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.42 : 4,963.86 = 2,271.84 : x
  2. Step 2: Convert to fraction form
    3,597.42/4,963.86 = 2,271.84/x
  3. Step 3: Cross multiply
    3,597.42x = 4,963.86 × 2,271.84
  4. Step 4: Simplify right side
    3,597.42x = 11,277,095.70
  5. Step 5: Solve for x
    x = 11,277,095.70/3,597.42
  6. Step 6: Final answer
    x = 3,134.77

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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.