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Finding the Fourth Proportional to 5,616, 8,416.32 and 3,020.16

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Solution

The fourth proportional to 5,616, 8,416.32 and 3,020.16 is: 4,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616 : 8,416.32 = 3,020.16 : x
  2. Step 2: Convert to fraction form
    5,616/8,416.32 = 3,020.16/x
  3. Step 3: Cross multiply
    5,616x = 8,416.32 × 3,020.16
  4. Step 4: Simplify right side
    5,616x = 25,418,633.01
  5. Step 5: Solve for x
    x = 25,418,633.01/5,616
  6. Step 6: Final answer
    x = 4,526.11

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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.