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Finding the Fourth Proportional to 5,504.69, 7,596.23 and 3,146.98

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Solution

The fourth proportional to 5,504.69, 7,596.23 and 3,146.98 is: 4,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.69 : 7,596.23 = 3,146.98 : x
  2. Step 2: Convert to fraction form
    5,504.69/7,596.23 = 3,146.98/x
  3. Step 3: Cross multiply
    5,504.69x = 7,596.23 × 3,146.98
  4. Step 4: Simplify right side
    5,504.69x = 23,905,149.16
  5. Step 5: Solve for x
    x = 23,905,149.16/5,504.69
  6. Step 6: Final answer
    x = 4,342.69

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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.