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Finding the Fourth Proportional to 5,918.32, 8,166.86 and 3,265.74

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Solution

The fourth proportional to 5,918.32, 8,166.86 and 3,265.74 is: 4,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.32 : 8,166.86 = 3,265.74 : x
  2. Step 2: Convert to fraction form
    5,918.32/8,166.86 = 3,265.74/x
  3. Step 3: Cross multiply
    5,918.32x = 8,166.86 × 3,265.74
  4. Step 4: Simplify right side
    5,918.32x = 26,670,841.38
  5. Step 5: Solve for x
    x = 26,670,841.38/5,918.32
  6. Step 6: Final answer
    x = 4,506.49

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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.