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Finding the Fourth Proportional to 3,953.70, 5,930.10 and 1,032.30

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Solution

The fourth proportional to 3,953.70, 5,930.10 and 1,032.30 is: 1,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.70 : 5,930.10 = 1,032.30 : x
  2. Step 2: Convert to fraction form
    3,953.70/5,930.10 = 1,032.30/x
  3. Step 3: Cross multiply
    3,953.70x = 5,930.10 × 1,032.30
  4. Step 4: Simplify right side
    3,953.70x = 6,121,642.23
  5. Step 5: Solve for x
    x = 6,121,642.23/3,953.70
  6. Step 6: Final answer
    x = 1,548.33

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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.