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Finding the Fourth Proportional to 3,469.47, 5,203.35 and 1,003.74

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Solution

The fourth proportional to 3,469.47, 5,203.35 and 1,003.74 is: 1,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.47 : 5,203.35 = 1,003.74 : x
  2. Step 2: Convert to fraction form
    3,469.47/5,203.35 = 1,003.74/x
  3. Step 3: Cross multiply
    3,469.47x = 5,203.35 × 1,003.74
  4. Step 4: Simplify right side
    3,469.47x = 5,222,810.53
  5. Step 5: Solve for x
    x = 5,222,810.53/3,469.47
  6. Step 6: Final answer
    x = 1,505.36

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1.5x scale

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.