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Finding the Fourth Proportional to 4,913.76, 7,364.08 and 1,790.83

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Solution

The fourth proportional to 4,913.76, 7,364.08 and 1,790.83 is: 2,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.76 : 7,364.08 = 1,790.83 : x
  2. Step 2: Convert to fraction form
    4,913.76/7,364.08 = 1,790.83/x
  3. Step 3: Cross multiply
    4,913.76x = 7,364.08 × 1,790.83
  4. Step 4: Simplify right side
    4,913.76x = 13,187,839.99
  5. Step 5: Solve for x
    x = 13,187,839.99/4,913.76
  6. Step 6: Final answer
    x = 2,683.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.