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Finding the Fourth Proportional to 3,364.10, 5,046.25 and 898.93

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Solution

The fourth proportional to 3,364.10, 5,046.25 and 898.93 is: 1,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.10 : 5,046.25 = 898.93 : x
  2. Step 2: Convert to fraction form
    3,364.10/5,046.25 = 898.93/x
  3. Step 3: Cross multiply
    3,364.10x = 5,046.25 × 898.93
  4. Step 4: Simplify right side
    3,364.10x = 4,536,215.71
  5. Step 5: Solve for x
    x = 4,536,215.71/3,364.10
  6. Step 6: Final answer
    x = 1,348.42

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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.