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Finding the Fourth Proportional to 5,141.66, 7,714.84 and 2,507.72

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Solution

The fourth proportional to 5,141.66, 7,714.84 and 2,507.72 is: 3,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.66 : 7,714.84 = 2,507.72 : x
  2. Step 2: Convert to fraction form
    5,141.66/7,714.84 = 2,507.72/x
  3. Step 3: Cross multiply
    5,141.66x = 7,714.84 × 2,507.72
  4. Step 4: Simplify right side
    5,141.66x = 19,346,658.56
  5. Step 5: Solve for x
    x = 19,346,658.56/5,141.66
  6. Step 6: Final answer
    x = 3,762.73

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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.