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Finding the Fourth Proportional to 3,709.24, 5,118.78 and 2,312

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Solution

The fourth proportional to 3,709.24, 5,118.78 and 2,312 is: 3,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.24 : 5,118.78 = 2,312 : x
  2. Step 2: Convert to fraction form
    3,709.24/5,118.78 = 2,312/x
  3. Step 3: Cross multiply
    3,709.24x = 5,118.78 × 2,312
  4. Step 4: Simplify right side
    3,709.24x = 11,834,619.36
  5. Step 5: Solve for x
    x = 11,834,619.36/3,709.24
  6. Step 6: Final answer
    x = 3,190.58

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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.