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Finding the Fourth Proportional to 4,769.20, 7,153.80 and 4,696.30

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Solution

The fourth proportional to 4,769.20, 7,153.80 and 4,696.30 is: 7,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.20 : 7,153.80 = 4,696.30 : x
  2. Step 2: Convert to fraction form
    4,769.20/7,153.80 = 4,696.30/x
  3. Step 3: Cross multiply
    4,769.20x = 7,153.80 × 4,696.30
  4. Step 4: Simplify right side
    4,769.20x = 33,596,390.94
  5. Step 5: Solve for x
    x = 33,596,390.94/4,769.20
  6. Step 6: Final answer
    x = 7,044.45

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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.