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Finding the Fourth Proportional to 3,616.25, 5,416.17 and 2,300.00

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Solution

The fourth proportional to 3,616.25, 5,416.17 and 2,300.00 is: 3,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.25 : 5,416.17 = 2,300.00 : x
  2. Step 2: Convert to fraction form
    3,616.25/5,416.17 = 2,300.00/x
  3. Step 3: Cross multiply
    3,616.25x = 5,416.17 × 2,300.00
  4. Step 4: Simplify right side
    3,616.25x = 12,457,155.29
  5. Step 5: Solve for x
    x = 12,457,155.29/3,616.25
  6. Step 6: Final answer
    x = 3,444.78

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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.