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Finding the Fourth Proportional to 3,466.62, 5,201.08 and 1,712.88

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Solution

The fourth proportional to 3,466.62, 5,201.08 and 1,712.88 is: 2,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.62 : 5,201.08 = 1,712.88 : x
  2. Step 2: Convert to fraction form
    3,466.62/5,201.08 = 1,712.88/x
  3. Step 3: Cross multiply
    3,466.62x = 5,201.08 × 1,712.88
  4. Step 4: Simplify right side
    3,466.62x = 8,908,821.63
  5. Step 5: Solve for x
    x = 8,908,821.63/3,466.62
  6. Step 6: Final answer
    x = 2,569.89

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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.