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Finding the Fourth Proportional to 3,086.56, 4,628.84 and 1,006.02

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Solution

The fourth proportional to 3,086.56, 4,628.84 and 1,006.02 is: 1,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.56 : 4,628.84 = 1,006.02 : x
  2. Step 2: Convert to fraction form
    3,086.56/4,628.84 = 1,006.02/x
  3. Step 3: Cross multiply
    3,086.56x = 4,628.84 × 1,006.02
  4. Step 4: Simplify right side
    3,086.56x = 4,656,706.25
  5. Step 5: Solve for x
    x = 4,656,706.25/3,086.56
  6. Step 6: Final answer
    x = 1,508.70

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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.