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Finding the Fourth Proportional to 4,272.39, 6,404.48 and 1,348.70

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Solution

The fourth proportional to 4,272.39, 6,404.48 and 1,348.70 is: 2,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.39 : 6,404.48 = 1,348.70 : x
  2. Step 2: Convert to fraction form
    4,272.39/6,404.48 = 1,348.70/x
  3. Step 3: Cross multiply
    4,272.39x = 6,404.48 × 1,348.70
  4. Step 4: Simplify right side
    4,272.39x = 8,637,683.41
  5. Step 5: Solve for x
    x = 8,637,683.41/4,272.39
  6. Step 6: Final answer
    x = 2,021.75

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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.