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Finding the Fourth Proportional to 4,714.36, 7,071.57 and 1,427.49

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Solution

The fourth proportional to 4,714.36, 7,071.57 and 1,427.49 is: 2,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.36 : 7,071.57 = 1,427.49 : x
  2. Step 2: Convert to fraction form
    4,714.36/7,071.57 = 1,427.49/x
  3. Step 3: Cross multiply
    4,714.36x = 7,071.57 × 1,427.49
  4. Step 4: Simplify right side
    4,714.36x = 10,094,559.60
  5. Step 5: Solve for x
    x = 10,094,559.60/4,714.36
  6. Step 6: Final answer
    x = 2,141.23

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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.