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Finding the Fourth Proportional to 3,364.02, 5,045.61 and 899.03

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Solution

The fourth proportional to 3,364.02, 5,045.61 and 899.03 is: 1,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.02 : 5,045.61 = 899.03 : x
  2. Step 2: Convert to fraction form
    3,364.02/5,045.61 = 899.03/x
  3. Step 3: Cross multiply
    3,364.02x = 5,045.61 × 899.03
  4. Step 4: Simplify right side
    3,364.02x = 4,536,129.53
  5. Step 5: Solve for x
    x = 4,536,129.53/3,364.02
  6. Step 6: Final answer
    x = 1,348.43

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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.