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Finding the Fourth Proportional to 3,364.09, 5,046.38 and 898.85

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Solution

The fourth proportional to 3,364.09, 5,046.38 and 898.85 is: 1,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.09 : 5,046.38 = 898.85 : x
  2. Step 2: Convert to fraction form
    3,364.09/5,046.38 = 898.85/x
  3. Step 3: Cross multiply
    3,364.09x = 5,046.38 × 898.85
  4. Step 4: Simplify right side
    3,364.09x = 4,535,955.21
  5. Step 5: Solve for x
    x = 4,535,955.21/3,364.09
  6. Step 6: Final answer
    x = 1,348.35

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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.