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Finding the Fourth Proportional to 3,703.06, 5,576.47 and 3,221.92

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Solution

The fourth proportional to 3,703.06, 5,576.47 and 3,221.92 is: 4,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.06 : 5,576.47 = 3,221.92 : x
  2. Step 2: Convert to fraction form
    3,703.06/5,576.47 = 3,221.92/x
  3. Step 3: Cross multiply
    3,703.06x = 5,576.47 × 3,221.92
  4. Step 4: Simplify right side
    3,703.06x = 17,966,940.22
  5. Step 5: Solve for x
    x = 17,966,940.22/3,703.06
  6. Step 6: Final answer
    x = 4,851.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.