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Finding the Fourth Proportional to 4,714, 6,505.53 and 2,618.13

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Solution

The fourth proportional to 4,714, 6,505.53 and 2,618.13 is: 3,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714 : 6,505.53 = 2,618.13 : x
  2. Step 2: Convert to fraction form
    4,714/6,505.53 = 2,618.13/x
  3. Step 3: Cross multiply
    4,714x = 6,505.53 × 2,618.13
  4. Step 4: Simplify right side
    4,714x = 17,032,323.26
  5. Step 5: Solve for x
    x = 17,032,323.26/4,714
  6. Step 6: Final answer
    x = 3,613.14

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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.