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Finding the Fourth Proportional to 3,475.72, 5,214.08 and 1,283.88

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Solution

The fourth proportional to 3,475.72, 5,214.08 and 1,283.88 is: 1,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.72 : 5,214.08 = 1,283.88 : x
  2. Step 2: Convert to fraction form
    3,475.72/5,214.08 = 1,283.88/x
  3. Step 3: Cross multiply
    3,475.72x = 5,214.08 × 1,283.88
  4. Step 4: Simplify right side
    3,475.72x = 6,694,253.03
  5. Step 5: Solve for x
    x = 6,694,253.03/3,475.72
  6. Step 6: Final answer
    x = 1,926.00

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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.