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Finding the Fourth Proportional to 4,714.14, 6,505.50 and 2,618.25

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Solution

The fourth proportional to 4,714.14, 6,505.50 and 2,618.25 is: 3,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.14 : 6,505.50 = 2,618.25 : x
  2. Step 2: Convert to fraction form
    4,714.14/6,505.50 = 2,618.25/x
  3. Step 3: Cross multiply
    4,714.14x = 6,505.50 × 2,618.25
  4. Step 4: Simplify right side
    4,714.14x = 17,033,025.38
  5. Step 5: Solve for x
    x = 17,033,025.38/4,714.14
  6. Step 6: Final answer
    x = 3,613.18

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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.