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Finding the Fourth Proportional to 3,843.75, 5,302.86 and 2,426.93

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Solution

The fourth proportional to 3,843.75, 5,302.86 and 2,426.93 is: 3,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.75 : 5,302.86 = 2,426.93 : x
  2. Step 2: Convert to fraction form
    3,843.75/5,302.86 = 2,426.93/x
  3. Step 3: Cross multiply
    3,843.75x = 5,302.86 × 2,426.93
  4. Step 4: Simplify right side
    3,843.75x = 12,869,643.51
  5. Step 5: Solve for x
    x = 12,869,643.51/3,843.75
  6. Step 6: Final answer
    x = 3,348.20

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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.