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Finding the Fourth Proportional to 4,243.76, 5,857.04 and 2,475.14

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Solution

The fourth proportional to 4,243.76, 5,857.04 and 2,475.14 is: 3,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.76 : 5,857.04 = 2,475.14 : x
  2. Step 2: Convert to fraction form
    4,243.76/5,857.04 = 2,475.14/x
  3. Step 3: Cross multiply
    4,243.76x = 5,857.04 × 2,475.14
  4. Step 4: Simplify right side
    4,243.76x = 14,496,993.99
  5. Step 5: Solve for x
    x = 14,496,993.99/4,243.76
  6. Step 6: Final answer
    x = 3,416.07

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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.