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Finding the Fourth Proportional to 4,714.68, 7,071.17 and 1,792.02

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Solution

The fourth proportional to 4,714.68, 7,071.17 and 1,792.02 is: 2,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.68 : 7,071.17 = 1,792.02 : x
  2. Step 2: Convert to fraction form
    4,714.68/7,071.17 = 1,792.02/x
  3. Step 3: Cross multiply
    4,714.68x = 7,071.17 × 1,792.02
  4. Step 4: Simplify right side
    4,714.68x = 12,671,669.10
  5. Step 5: Solve for x
    x = 12,671,669.10/4,714.68
  6. Step 6: Final answer
    x = 2,687.71

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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.