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Finding the Fourth Proportional to 4,321.60, 5,972.16 and 3,271.84

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Solution

The fourth proportional to 4,321.60, 5,972.16 and 3,271.84 is: 4,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.60 : 5,972.16 = 3,271.84 : x
  2. Step 2: Convert to fraction form
    4,321.60/5,972.16 = 3,271.84/x
  3. Step 3: Cross multiply
    4,321.60x = 5,972.16 × 3,271.84
  4. Step 4: Simplify right side
    4,321.60x = 19,539,951.97
  5. Step 5: Solve for x
    x = 19,539,951.97/4,321.60
  6. Step 6: Final answer
    x = 4,521.46

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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.