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Finding the Fourth Proportional to 4,714.41, 7,071.54 and 1,427.55

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Solution

The fourth proportional to 4,714.41, 7,071.54 and 1,427.55 is: 2,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.41 : 7,071.54 = 1,427.55 : x
  2. Step 2: Convert to fraction form
    4,714.41/7,071.54 = 1,427.55/x
  3. Step 3: Cross multiply
    4,714.41x = 7,071.54 × 1,427.55
  4. Step 4: Simplify right side
    4,714.41x = 10,094,976.93
  5. Step 5: Solve for x
    x = 10,094,976.93/4,714.41
  6. Step 6: Final answer
    x = 2,141.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.