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Finding the Fourth Proportional to 3,364.12, 5,045.78 and 899.13

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Solution

The fourth proportional to 3,364.12, 5,045.78 and 899.13 is: 1,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.12 : 5,045.78 = 899.13 : x
  2. Step 2: Convert to fraction form
    3,364.12/5,045.78 = 899.13/x
  3. Step 3: Cross multiply
    3,364.12x = 5,045.78 × 899.13
  4. Step 4: Simplify right side
    3,364.12x = 4,536,816.11
  5. Step 5: Solve for x
    x = 4,536,816.11/3,364.12
  6. Step 6: Final answer
    x = 1,348.59

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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.