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Finding the Fourth Proportional to 3,137.86, 4,706 and 1,289.49

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Solution

The fourth proportional to 3,137.86, 4,706 and 1,289.49 is: 1,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.86 : 4,706 = 1,289.49 : x
  2. Step 2: Convert to fraction form
    3,137.86/4,706 = 1,289.49/x
  3. Step 3: Cross multiply
    3,137.86x = 4,706 × 1,289.49
  4. Step 4: Simplify right side
    3,137.86x = 6,068,316.41
  5. Step 5: Solve for x
    x = 6,068,316.41/3,137.86
  6. Step 6: Final answer
    x = 1,933.90

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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.