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Finding the Fourth Proportional to 5,341.60, 8,012.36 and 1,446

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Solution

The fourth proportional to 5,341.60, 8,012.36 and 1,446 is: 2,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.60 : 8,012.36 = 1,446 : x
  2. Step 2: Convert to fraction form
    5,341.60/8,012.36 = 1,446/x
  3. Step 3: Cross multiply
    5,341.60x = 8,012.36 × 1,446
  4. Step 4: Simplify right side
    5,341.60x = 11,585,872.56
  5. Step 5: Solve for x
    x = 11,585,872.56/5,341.60
  6. Step 6: Final answer
    x = 2,168.99

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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.