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Finding the Fourth Proportional to 3,086.66, 4,630.52 and 1,006.08

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Solution

The fourth proportional to 3,086.66, 4,630.52 and 1,006.08 is: 1,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.66 : 4,630.52 = 1,006.08 : x
  2. Step 2: Convert to fraction form
    3,086.66/4,630.52 = 1,006.08/x
  3. Step 3: Cross multiply
    3,086.66x = 4,630.52 × 1,006.08
  4. Step 4: Simplify right side
    3,086.66x = 4,658,673.56
  5. Step 5: Solve for x
    x = 4,658,673.56/3,086.66
  6. Step 6: Final answer
    x = 1,509.29

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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.