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Finding the Fourth Proportional to 4,714.68, 6,502.89 and 2,945.64

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Solution

The fourth proportional to 4,714.68, 6,502.89 and 2,945.64 is: 4,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.68 : 6,502.89 = 2,945.64 : x
  2. Step 2: Convert to fraction form
    4,714.68/6,502.89 = 2,945.64/x
  3. Step 3: Cross multiply
    4,714.68x = 6,502.89 × 2,945.64
  4. Step 4: Simplify right side
    4,714.68x = 19,155,172.90
  5. Step 5: Solve for x
    x = 19,155,172.90/4,714.68
  6. Step 6: Final answer
    x = 4,062.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.