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Finding the Fourth Proportional to 3,503.52, 4,834.90 and 1,931.67

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Solution

The fourth proportional to 3,503.52, 4,834.90 and 1,931.67 is: 2,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.52 : 4,834.90 = 1,931.67 : x
  2. Step 2: Convert to fraction form
    3,503.52/4,834.90 = 1,931.67/x
  3. Step 3: Cross multiply
    3,503.52x = 4,834.90 × 1,931.67
  4. Step 4: Simplify right side
    3,503.52x = 9,339,421.62
  5. Step 5: Solve for x
    x = 9,339,421.62/3,503.52
  6. Step 6: Final answer
    x = 2,665.73

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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.