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Finding the Fourth Proportional to 3,503.27, 4,834.50 and 1,931.45

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Solution

The fourth proportional to 3,503.27, 4,834.50 and 1,931.45 is: 2,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.27 : 4,834.50 = 1,931.45 : x
  2. Step 2: Convert to fraction form
    3,503.27/4,834.50 = 1,931.45/x
  3. Step 3: Cross multiply
    3,503.27x = 4,834.50 × 1,931.45
  4. Step 4: Simplify right side
    3,503.27x = 9,337,595.03
  5. Step 5: Solve for x
    x = 9,337,595.03/3,503.27
  6. Step 6: Final answer
    x = 2,665.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.