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Finding the Fourth Proportional to 4,232.86, 5,841.57 and 2,344.65

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Solution

The fourth proportional to 4,232.86, 5,841.57 and 2,344.65 is: 3,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.86 : 5,841.57 = 2,344.65 : x
  2. Step 2: Convert to fraction form
    4,232.86/5,841.57 = 2,344.65/x
  3. Step 3: Cross multiply
    4,232.86x = 5,841.57 × 2,344.65
  4. Step 4: Simplify right side
    4,232.86x = 13,696,425.38
  5. Step 5: Solve for x
    x = 13,696,425.38/4,232.86
  6. Step 6: Final answer
    x = 3,235.74

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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.