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Finding the Fourth Proportional to 4,145.70, 5,721.64 and 2,378

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Solution

The fourth proportional to 4,145.70, 5,721.64 and 2,378 is: 3,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.70 : 5,721.64 = 2,378 : x
  2. Step 2: Convert to fraction form
    4,145.70/5,721.64 = 2,378/x
  3. Step 3: Cross multiply
    4,145.70x = 5,721.64 × 2,378
  4. Step 4: Simplify right side
    4,145.70x = 13,606,059.92
  5. Step 5: Solve for x
    x = 13,606,059.92/4,145.70
  6. Step 6: Final answer
    x = 3,281.97

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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.