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Finding the Fourth Proportional to 5,005.92, 7,505.52 and 2,816.16

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Solution

The fourth proportional to 5,005.92, 7,505.52 and 2,816.16 is: 4,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.92 : 7,505.52 = 2,816.16 : x
  2. Step 2: Convert to fraction form
    5,005.92/7,505.52 = 2,816.16/x
  3. Step 3: Cross multiply
    5,005.92x = 7,505.52 × 2,816.16
  4. Step 4: Simplify right side
    5,005.92x = 21,136,745.20
  5. Step 5: Solve for x
    x = 21,136,745.20/5,005.92
  6. Step 6: Final answer
    x = 4,222.35

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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.