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Finding the Fourth Proportional to 3,364.03, 5,046.29 and 898.79

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Solution

The fourth proportional to 3,364.03, 5,046.29 and 898.79 is: 1,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.03 : 5,046.29 = 898.79 : x
  2. Step 2: Convert to fraction form
    3,364.03/5,046.29 = 898.79/x
  3. Step 3: Cross multiply
    3,364.03x = 5,046.29 × 898.79
  4. Step 4: Simplify right side
    3,364.03x = 4,535,554.99
  5. Step 5: Solve for x
    x = 4,535,554.99/3,364.03
  6. Step 6: Final answer
    x = 1,348.25

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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.