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Finding the Fourth Proportional to 5,714.24, 7,887.62 and 3,927.62

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Solution

The fourth proportional to 5,714.24, 7,887.62 and 3,927.62 is: 5,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.24 : 7,887.62 = 3,927.62 : x
  2. Step 2: Convert to fraction form
    5,714.24/7,887.62 = 3,927.62/x
  3. Step 3: Cross multiply
    5,714.24x = 7,887.62 × 3,927.62
  4. Step 4: Simplify right side
    5,714.24x = 30,979,574.06
  5. Step 5: Solve for x
    x = 30,979,574.06/5,714.24
  6. Step 6: Final answer
    x = 5,421.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.