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Finding the Fourth Proportional to 4,134.66, 5,705.83 and 2,271.66

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Solution

The fourth proportional to 4,134.66, 5,705.83 and 2,271.66 is: 3,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.66 : 5,705.83 = 2,271.66 : x
  2. Step 2: Convert to fraction form
    4,134.66/5,705.83 = 2,271.66/x
  3. Step 3: Cross multiply
    4,134.66x = 5,705.83 × 2,271.66
  4. Step 4: Simplify right side
    4,134.66x = 12,961,687.22
  5. Step 5: Solve for x
    x = 12,961,687.22/4,134.66
  6. Step 6: Final answer
    x = 3,134.89

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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.