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Finding the Fourth Proportional to 4,884.62, 7,328.51 and 1,596.96

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Solution

The fourth proportional to 4,884.62, 7,328.51 and 1,596.96 is: 2,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.62 : 7,328.51 = 1,596.96 : x
  2. Step 2: Convert to fraction form
    4,884.62/7,328.51 = 1,596.96/x
  3. Step 3: Cross multiply
    4,884.62x = 7,328.51 × 1,596.96
  4. Step 4: Simplify right side
    4,884.62x = 11,703,329.34
  5. Step 5: Solve for x
    x = 11,703,329.34/4,884.62
  6. Step 6: Final answer
    x = 2,395.96

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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.