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Finding the Fourth Proportional to 4,143.84, 5,715.60 and 2,815.25

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Solution

The fourth proportional to 4,143.84, 5,715.60 and 2,815.25 is: 3,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.84 : 5,715.60 = 2,815.25 : x
  2. Step 2: Convert to fraction form
    4,143.84/5,715.60 = 2,815.25/x
  3. Step 3: Cross multiply
    4,143.84x = 5,715.60 × 2,815.25
  4. Step 4: Simplify right side
    4,143.84x = 16,090,814.32
  5. Step 5: Solve for x
    x = 16,090,814.32/4,143.84
  6. Step 6: Final answer
    x = 3,883.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.