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Finding the Fourth Proportional to 5,410, 7,465.80 and 2,926

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Solution

The fourth proportional to 5,410, 7,465.80 and 2,926 is: 4,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410 : 7,465.80 = 2,926 : x
  2. Step 2: Convert to fraction form
    5,410/7,465.80 = 2,926/x
  3. Step 3: Cross multiply
    5,410x = 7,465.80 × 2,926
  4. Step 4: Simplify right side
    5,410x = 21,844,930.80
  5. Step 5: Solve for x
    x = 21,844,930.80/5,410
  6. Step 6: Final answer
    x = 4,037.88

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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.