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Finding the Fourth Proportional to 3,475.35, 5,213.93 and 1,284.09

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Solution

The fourth proportional to 3,475.35, 5,213.93 and 1,284.09 is: 1,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.35 : 5,213.93 = 1,284.09 : x
  2. Step 2: Convert to fraction form
    3,475.35/5,213.93 = 1,284.09/x
  3. Step 3: Cross multiply
    3,475.35x = 5,213.93 × 1,284.09
  4. Step 4: Simplify right side
    3,475.35x = 6,695,155.37
  5. Step 5: Solve for x
    x = 6,695,155.37/3,475.35
  6. Step 6: Final answer
    x = 1,926.47

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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.