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Finding the Fourth Proportional to 5,147.69, 7,093.71 and 4,205.93

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Solution

The fourth proportional to 5,147.69, 7,093.71 and 4,205.93 is: 5,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.69 : 7,093.71 = 4,205.93 : x
  2. Step 2: Convert to fraction form
    5,147.69/7,093.71 = 4,205.93/x
  3. Step 3: Cross multiply
    5,147.69x = 7,093.71 × 4,205.93
  4. Step 4: Simplify right side
    5,147.69x = 29,835,612.23
  5. Step 5: Solve for x
    x = 29,835,612.23/5,147.69
  6. Step 6: Final answer
    x = 5,795.93

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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.