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Finding the Fourth Proportional to 4,235, 6,352.92 and 1,157

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Solution

The fourth proportional to 4,235, 6,352.92 and 1,157 is: 1,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235 : 6,352.92 = 1,157 : x
  2. Step 2: Convert to fraction form
    4,235/6,352.92 = 1,157/x
  3. Step 3: Cross multiply
    4,235x = 6,352.92 × 1,157
  4. Step 4: Simplify right side
    4,235x = 7,350,328.44
  5. Step 5: Solve for x
    x = 7,350,328.44/4,235
  6. Step 6: Final answer
    x = 1,735.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.