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Finding the Fourth Proportional to 4,677.68, 7,007.48 and 3,685.24

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Solution

The fourth proportional to 4,677.68, 7,007.48 and 3,685.24 is: 5,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.68 : 7,007.48 = 3,685.24 : x
  2. Step 2: Convert to fraction form
    4,677.68/7,007.48 = 3,685.24/x
  3. Step 3: Cross multiply
    4,677.68x = 7,007.48 × 3,685.24
  4. Step 4: Simplify right side
    4,677.68x = 25,824,245.60
  5. Step 5: Solve for x
    x = 25,824,245.60/4,677.68
  6. Step 6: Final answer
    x = 5,520.74

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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.