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Finding the Fourth Proportional to 3,364.12, 5,046.06 and 898.92

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Solution

The fourth proportional to 3,364.12, 5,046.06 and 898.92 is: 1,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.12 : 5,046.06 = 898.92 : x
  2. Step 2: Convert to fraction form
    3,364.12/5,046.06 = 898.92/x
  3. Step 3: Cross multiply
    3,364.12x = 5,046.06 × 898.92
  4. Step 4: Simplify right side
    3,364.12x = 4,536,004.26
  5. Step 5: Solve for x
    x = 4,536,004.26/3,364.12
  6. Step 6: Final answer
    x = 1,348.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.