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Finding the Fourth Proportional to 5,151.03, 7,714.11 and 2,953.08

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Solution

The fourth proportional to 5,151.03, 7,714.11 and 2,953.08 is: 4,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.03 : 7,714.11 = 2,953.08 : x
  2. Step 2: Convert to fraction form
    5,151.03/7,714.11 = 2,953.08/x
  3. Step 3: Cross multiply
    5,151.03x = 7,714.11 × 2,953.08
  4. Step 4: Simplify right side
    5,151.03x = 22,780,383.96
  5. Step 5: Solve for x
    x = 22,780,383.96/5,151.03
  6. Step 6: Final answer
    x = 4,422.49

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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.