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Finding the Fourth Proportional to 4,587, 6,879.42 and 1,466.16

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Solution

The fourth proportional to 4,587, 6,879.42 and 1,466.16 is: 2,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587 : 6,879.42 = 1,466.16 : x
  2. Step 2: Convert to fraction form
    4,587/6,879.42 = 1,466.16/x
  3. Step 3: Cross multiply
    4,587x = 6,879.42 × 1,466.16
  4. Step 4: Simplify right side
    4,587x = 10,086,330.43
  5. Step 5: Solve for x
    x = 10,086,330.43/4,587
  6. Step 6: Final answer
    x = 2,198.89

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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.