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Finding the Fourth Proportional to 5,276.66, 7,914.96 and 2,156

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Solution

The fourth proportional to 5,276.66, 7,914.96 and 2,156 is: 3,233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.66 : 7,914.96 = 2,156 : x
  2. Step 2: Convert to fraction form
    5,276.66/7,914.96 = 2,156/x
  3. Step 3: Cross multiply
    5,276.66x = 7,914.96 × 2,156
  4. Step 4: Simplify right side
    5,276.66x = 17,064,653.76
  5. Step 5: Solve for x
    x = 17,064,653.76/5,276.66
  6. Step 6: Final answer
    x = 3,233.99

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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.