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Finding the Fourth Proportional to 3,851.54, 5,749.45 and 3,384.45

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Solution

The fourth proportional to 3,851.54, 5,749.45 and 3,384.45 is: 5,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.54 : 5,749.45 = 3,384.45 : x
  2. Step 2: Convert to fraction form
    3,851.54/5,749.45 = 3,384.45/x
  3. Step 3: Cross multiply
    3,851.54x = 5,749.45 × 3,384.45
  4. Step 4: Simplify right side
    3,851.54x = 19,458,709.13
  5. Step 5: Solve for x
    x = 19,458,709.13/3,851.54
  6. Step 6: Final answer
    x = 5,052.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.