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Finding the Fourth Proportional to 5,144.24, 7,714.46 and 1,856.46

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Solution

The fourth proportional to 5,144.24, 7,714.46 and 1,856.46 is: 2,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.24 : 7,714.46 = 1,856.46 : x
  2. Step 2: Convert to fraction form
    5,144.24/7,714.46 = 1,856.46/x
  3. Step 3: Cross multiply
    5,144.24x = 7,714.46 × 1,856.46
  4. Step 4: Simplify right side
    5,144.24x = 14,321,586.41
  5. Step 5: Solve for x
    x = 14,321,586.41/5,144.24
  6. Step 6: Final answer
    x = 2,784.00

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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.