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Finding the Fourth Proportional to 3,806.51, 5,254.59 and 2,314.89

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Solution

The fourth proportional to 3,806.51, 5,254.59 and 2,314.89 is: 3,195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.51 : 5,254.59 = 2,314.89 : x
  2. Step 2: Convert to fraction form
    3,806.51/5,254.59 = 2,314.89/x
  3. Step 3: Cross multiply
    3,806.51x = 5,254.59 × 2,314.89
  4. Step 4: Simplify right side
    3,806.51x = 12,163,797.85
  5. Step 5: Solve for x
    x = 12,163,797.85/3,806.51
  6. Step 6: Final answer
    x = 3,195.53

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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.