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Finding the Fourth Proportional to 4,387.56, 6,578.10 and 1,612.80

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Solution

The fourth proportional to 4,387.56, 6,578.10 and 1,612.80 is: 2,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.56 : 6,578.10 = 1,612.80 : x
  2. Step 2: Convert to fraction form
    4,387.56/6,578.10 = 1,612.80/x
  3. Step 3: Cross multiply
    4,387.56x = 6,578.10 × 1,612.80
  4. Step 4: Simplify right side
    4,387.56x = 10,609,159.68
  5. Step 5: Solve for x
    x = 10,609,159.68/4,387.56
  6. Step 6: Final answer
    x = 2,418.01

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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.