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Finding the Fourth Proportional to 4,829.24, 7,246.32 and 3,446.60

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Solution

The fourth proportional to 4,829.24, 7,246.32 and 3,446.60 is: 5,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.24 : 7,246.32 = 3,446.60 : x
  2. Step 2: Convert to fraction form
    4,829.24/7,246.32 = 3,446.60/x
  3. Step 3: Cross multiply
    4,829.24x = 7,246.32 × 3,446.60
  4. Step 4: Simplify right side
    4,829.24x = 24,975,166.51
  5. Step 5: Solve for x
    x = 24,975,166.51/4,829.24
  6. Step 6: Final answer
    x = 5,171.66

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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.