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Finding the Fourth Proportional to 3,852.96, 5,315.34 and 2,454.84

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Solution

The fourth proportional to 3,852.96, 5,315.34 and 2,454.84 is: 3,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.96 : 5,315.34 = 2,454.84 : x
  2. Step 2: Convert to fraction form
    3,852.96/5,315.34 = 2,454.84/x
  3. Step 3: Cross multiply
    3,852.96x = 5,315.34 × 2,454.84
  4. Step 4: Simplify right side
    3,852.96x = 13,048,309.25
  5. Step 5: Solve for x
    x = 13,048,309.25/3,852.96
  6. Step 6: Final answer
    x = 3,386.57

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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.