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Finding the Fourth Proportional to 4,769.36, 7,152.67 and 1,648.55

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Solution

The fourth proportional to 4,769.36, 7,152.67 and 1,648.55 is: 2,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.36 : 7,152.67 = 1,648.55 : x
  2. Step 2: Convert to fraction form
    4,769.36/7,152.67 = 1,648.55/x
  3. Step 3: Cross multiply
    4,769.36x = 7,152.67 × 1,648.55
  4. Step 4: Simplify right side
    4,769.36x = 11,791,490.12
  5. Step 5: Solve for x
    x = 11,791,490.12/4,769.36
  6. Step 6: Final answer
    x = 2,472.34

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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.