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Finding the Fourth Proportional to 4,714.19, 6,505.78 and 2,618.32

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Solution

The fourth proportional to 4,714.19, 6,505.78 and 2,618.32 is: 3,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.19 : 6,505.78 = 2,618.32 : x
  2. Step 2: Convert to fraction form
    4,714.19/6,505.78 = 2,618.32/x
  3. Step 3: Cross multiply
    4,714.19x = 6,505.78 × 2,618.32
  4. Step 4: Simplify right side
    4,714.19x = 17,034,181.36
  5. Step 5: Solve for x
    x = 17,034,181.36/4,714.19
  6. Step 6: Final answer
    x = 3,613.38

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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.