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Finding the Fourth Proportional to 3,813.51, 5,259.67 and 2,554.16

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Solution

The fourth proportional to 3,813.51, 5,259.67 and 2,554.16 is: 3,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.51 : 5,259.67 = 2,554.16 : x
  2. Step 2: Convert to fraction form
    3,813.51/5,259.67 = 2,554.16/x
  3. Step 3: Cross multiply
    3,813.51x = 5,259.67 × 2,554.16
  4. Step 4: Simplify right side
    3,813.51x = 13,434,038.73
  5. Step 5: Solve for x
    x = 13,434,038.73/3,813.51
  6. Step 6: Final answer
    x = 3,522.75

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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.