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Finding the Fourth Proportional to 5,143.98, 7,714.38 and 1,856.66

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Solution

The fourth proportional to 5,143.98, 7,714.38 and 1,856.66 is: 2,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.98 : 7,714.38 = 1,856.66 : x
  2. Step 2: Convert to fraction form
    5,143.98/7,714.38 = 1,856.66/x
  3. Step 3: Cross multiply
    5,143.98x = 7,714.38 × 1,856.66
  4. Step 4: Simplify right side
    5,143.98x = 14,322,942.20
  5. Step 5: Solve for x
    x = 14,322,942.20/5,143.98
  6. Step 6: Final answer
    x = 2,784.41

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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.