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Finding the Fourth Proportional to 3,086.85, 4,630.72 and 1,006.34

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Solution

The fourth proportional to 3,086.85, 4,630.72 and 1,006.34 is: 1,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.85 : 4,630.72 = 1,006.34 : x
  2. Step 2: Convert to fraction form
    3,086.85/4,630.72 = 1,006.34/x
  3. Step 3: Cross multiply
    3,086.85x = 4,630.72 × 1,006.34
  4. Step 4: Simplify right side
    3,086.85x = 4,660,061.49
  5. Step 5: Solve for x
    x = 4,660,061.49/3,086.85
  6. Step 6: Final answer
    x = 1,509.65

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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.