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Finding the Fourth Proportional to 3,479.48, 5,219.70 and 1,427

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Solution

The fourth proportional to 3,479.48, 5,219.70 and 1,427 is: 2,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.48 : 5,219.70 = 1,427 : x
  2. Step 2: Convert to fraction form
    3,479.48/5,219.70 = 1,427/x
  3. Step 3: Cross multiply
    3,479.48x = 5,219.70 × 1,427
  4. Step 4: Simplify right side
    3,479.48x = 7,448,511.90
  5. Step 5: Solve for x
    x = 7,448,511.90/3,479.48
  6. Step 6: Final answer
    x = 2,140.70

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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.