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Finding the Fourth Proportional to 4,555.74, 6,834.62 and 2,477.62

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Solution

The fourth proportional to 4,555.74, 6,834.62 and 2,477.62 is: 3,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.74 : 6,834.62 = 2,477.62 : x
  2. Step 2: Convert to fraction form
    4,555.74/6,834.62 = 2,477.62/x
  3. Step 3: Cross multiply
    4,555.74x = 6,834.62 × 2,477.62
  4. Step 4: Simplify right side
    4,555.74x = 16,933,591.20
  5. Step 5: Solve for x
    x = 16,933,591.20/4,555.74
  6. Step 6: Final answer
    x = 3,716.98

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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.