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Finding the Fourth Proportional to 6,056.70, 8,354.84 and 3,814.74

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Solution

The fourth proportional to 6,056.70, 8,354.84 and 3,814.74 is: 5,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.70 : 8,354.84 = 3,814.74 : x
  2. Step 2: Convert to fraction form
    6,056.70/8,354.84 = 3,814.74/x
  3. Step 3: Cross multiply
    6,056.70x = 8,354.84 × 3,814.74
  4. Step 4: Simplify right side
    6,056.70x = 31,871,542.34
  5. Step 5: Solve for x
    x = 31,871,542.34/6,056.70
  6. Step 6: Final answer
    x = 5,262.20

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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.