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Finding the Fourth Proportional to 3,466.64, 5,200.88 and 1,001.68

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Solution

The fourth proportional to 3,466.64, 5,200.88 and 1,001.68 is: 1,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.64 : 5,200.88 = 1,001.68 : x
  2. Step 2: Convert to fraction form
    3,466.64/5,200.88 = 1,001.68/x
  3. Step 3: Cross multiply
    3,466.64x = 5,200.88 × 1,001.68
  4. Step 4: Simplify right side
    3,466.64x = 5,209,617.48
  5. Step 5: Solve for x
    x = 5,209,617.48/3,466.64
  6. Step 6: Final answer
    x = 1,502.79

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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.