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Finding the Fourth Proportional to 5,261.60, 7,262 and 3,272.96

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Solution

The fourth proportional to 5,261.60, 7,262 and 3,272.96 is: 4,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.60 : 7,262 = 3,272.96 : x
  2. Step 2: Convert to fraction form
    5,261.60/7,262 = 3,272.96/x
  3. Step 3: Cross multiply
    5,261.60x = 7,262 × 3,272.96
  4. Step 4: Simplify right side
    5,261.60x = 23,768,235.52
  5. Step 5: Solve for x
    x = 23,768,235.52/5,261.60
  6. Step 6: Final answer
    x = 4,517.30

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Why These Related Problems?

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