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Finding the Fourth Proportional to 3,086.70, 4,628.63 and 1,137.53

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Solution

The fourth proportional to 3,086.70, 4,628.63 and 1,137.53 is: 1,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.70 : 4,628.63 = 1,137.53 : x
  2. Step 2: Convert to fraction form
    3,086.70/4,628.63 = 1,137.53/x
  3. Step 3: Cross multiply
    3,086.70x = 4,628.63 × 1,137.53
  4. Step 4: Simplify right side
    3,086.70x = 5,265,199.80
  5. Step 5: Solve for x
    x = 5,265,199.80/3,086.70
  6. Step 6: Final answer
    x = 1,705.77

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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.