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Finding the Fourth Proportional to 3,246.27, 4,869.45 and 937.77

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Solution

The fourth proportional to 3,246.27, 4,869.45 and 937.77 is: 1,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.27 : 4,869.45 = 937.77 : x
  2. Step 2: Convert to fraction form
    3,246.27/4,869.45 = 937.77/x
  3. Step 3: Cross multiply
    3,246.27x = 4,869.45 × 937.77
  4. Step 4: Simplify right side
    3,246.27x = 4,566,424.13
  5. Step 5: Solve for x
    x = 4,566,424.13/3,246.27
  6. Step 6: Final answer
    x = 1,406.67

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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.