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Finding the Fourth Proportional to 3,557.68, 4,905.24 and 2,926

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Solution

The fourth proportional to 3,557.68, 4,905.24 and 2,926 is: 4,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.68 : 4,905.24 = 2,926 : x
  2. Step 2: Convert to fraction form
    3,557.68/4,905.24 = 2,926/x
  3. Step 3: Cross multiply
    3,557.68x = 4,905.24 × 2,926
  4. Step 4: Simplify right side
    3,557.68x = 14,352,732.24
  5. Step 5: Solve for x
    x = 14,352,732.24/3,557.68
  6. Step 6: Final answer
    x = 4,034.30

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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.