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Finding the Fourth Proportional to 3,423.41, 5,137.08 and 1,448.90

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Solution

The fourth proportional to 3,423.41, 5,137.08 and 1,448.90 is: 2,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.41 : 5,137.08 = 1,448.90 : x
  2. Step 2: Convert to fraction form
    3,423.41/5,137.08 = 1,448.90/x
  3. Step 3: Cross multiply
    3,423.41x = 5,137.08 × 1,448.90
  4. Step 4: Simplify right side
    3,423.41x = 7,443,089.53
  5. Step 5: Solve for x
    x = 7,443,089.53/3,423.41
  6. Step 6: Final answer
    x = 2,174.18

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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.