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Finding the Fourth Proportional to 3,466.71, 5,200.29 and 1,001.54

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Solution

The fourth proportional to 3,466.71, 5,200.29 and 1,001.54 is: 1,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.71 : 5,200.29 = 1,001.54 : x
  2. Step 2: Convert to fraction form
    3,466.71/5,200.29 = 1,001.54/x
  3. Step 3: Cross multiply
    3,466.71x = 5,200.29 × 1,001.54
  4. Step 4: Simplify right side
    3,466.71x = 5,208,311.45
  5. Step 5: Solve for x
    x = 5,208,311.45/3,466.71
  6. Step 6: Final answer
    x = 1,502.38

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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.