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Finding the Fourth Proportional to 4,829.40, 7,232.85 and 4,696.38

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Solution

The fourth proportional to 4,829.40, 7,232.85 and 4,696.38 is: 7,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.40 : 7,232.85 = 4,696.38 : x
  2. Step 2: Convert to fraction form
    4,829.40/7,232.85 = 4,696.38/x
  3. Step 3: Cross multiply
    4,829.40x = 7,232.85 × 4,696.38
  4. Step 4: Simplify right side
    4,829.40x = 33,968,212.08
  5. Step 5: Solve for x
    x = 33,968,212.08/4,829.40
  6. Step 6: Final answer
    x = 7,033.63

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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.