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Finding the Fourth Proportional to 3,503.42, 4,834.62 and 1,931.48

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Solution

The fourth proportional to 3,503.42, 4,834.62 and 1,931.48 is: 2,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.42 : 4,834.62 = 1,931.48 : x
  2. Step 2: Convert to fraction form
    3,503.42/4,834.62 = 1,931.48/x
  3. Step 3: Cross multiply
    3,503.42x = 4,834.62 × 1,931.48
  4. Step 4: Simplify right side
    3,503.42x = 9,337,971.84
  5. Step 5: Solve for x
    x = 9,337,971.84/3,503.42
  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.