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Finding the Fourth Proportional to 3,364.34, 5,046.81 and 899.30

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Solution

The fourth proportional to 3,364.34, 5,046.81 and 899.30 is: 1,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.34 : 5,046.81 = 899.30 : x
  2. Step 2: Convert to fraction form
    3,364.34/5,046.81 = 899.30/x
  3. Step 3: Cross multiply
    3,364.34x = 5,046.81 × 899.30
  4. Step 4: Simplify right side
    3,364.34x = 4,538,605.48
  5. Step 5: Solve for x
    x = 4,538,605.48/3,364.34
  6. Step 6: Final answer
    x = 1,349.03

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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.