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Finding the Fourth Proportional to 6,858.10, 9,464.22 and 3,714.29

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Solution

The fourth proportional to 6,858.10, 9,464.22 and 3,714.29 is: 5,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.10 : 9,464.22 = 3,714.29 : x
  2. Step 2: Convert to fraction form
    6,858.10/9,464.22 = 3,714.29/x
  3. Step 3: Cross multiply
    6,858.10x = 9,464.22 × 3,714.29
  4. Step 4: Simplify right side
    6,858.10x = 35,152,810.38
  5. Step 5: Solve for x
    x = 35,152,810.38/6,858.10
  6. Step 6: Final answer
    x = 5,125.74

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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.