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Finding the Fourth Proportional to 5,504.58, 7,596.42 and 3,146.76

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Solution

The fourth proportional to 5,504.58, 7,596.42 and 3,146.76 is: 4,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.58 : 7,596.42 = 3,146.76 : x
  2. Step 2: Convert to fraction form
    5,504.58/7,596.42 = 3,146.76/x
  3. Step 3: Cross multiply
    5,504.58x = 7,596.42 × 3,146.76
  4. Step 4: Simplify right side
    5,504.58x = 23,904,110.60
  5. Step 5: Solve for x
    x = 23,904,110.60/5,504.58
  6. Step 6: Final answer
    x = 4,342.59

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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.