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Finding the Fourth Proportional to 3,364.22, 5,045.73 and 899.07

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Solution

The fourth proportional to 3,364.22, 5,045.73 and 899.07 is: 1,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.22 : 5,045.73 = 899.07 : x
  2. Step 2: Convert to fraction form
    3,364.22/5,045.73 = 899.07/x
  3. Step 3: Cross multiply
    3,364.22x = 5,045.73 × 899.07
  4. Step 4: Simplify right side
    3,364.22x = 4,536,464.47
  5. Step 5: Solve for x
    x = 4,536,464.47/3,364.22
  6. Step 6: Final answer
    x = 1,348.44

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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.