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Finding the Fourth Proportional to 3,448.68, 4,730.54 and 3,419.03

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Solution

The fourth proportional to 3,448.68, 4,730.54 and 3,419.03 is: 4,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.68 : 4,730.54 = 3,419.03 : x
  2. Step 2: Convert to fraction form
    3,448.68/4,730.54 = 3,419.03/x
  3. Step 3: Cross multiply
    3,448.68x = 4,730.54 × 3,419.03
  4. Step 4: Simplify right side
    3,448.68x = 16,173,817.43
  5. Step 5: Solve for x
    x = 16,173,817.43/3,448.68
  6. Step 6: Final answer
    x = 4,689.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.