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Finding the Fourth Proportional to 5,141.33, 7,714.05 and 3,062.33

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Solution

The fourth proportional to 5,141.33, 7,714.05 and 3,062.33 is: 4,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.33 : 7,714.05 = 3,062.33 : x
  2. Step 2: Convert to fraction form
    5,141.33/7,714.05 = 3,062.33/x
  3. Step 3: Cross multiply
    5,141.33x = 7,714.05 × 3,062.33
  4. Step 4: Simplify right side
    5,141.33x = 23,622,966.74
  5. Step 5: Solve for x
    x = 23,622,966.74/5,141.33
  6. Step 6: Final answer
    x = 4,594.72

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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.